







Two people are clapping their hands 
20191206 

Yukti pose la question : Two people are clapping their hands, but with different frequencies. Ramya claps her hands
17 times per 3 minutes, and Kumar claps his hands 31 times per 5 minutes. They start
clapping at the same time. How many times does each one clap before they clap together at
the same time again? Penny Nom lui répond. 





Packing chocolates in boxes 
20190722 

CHESKA pose la question : 1.levy can pack the chocolate bars either with 35 bars in a box,with 42 in a box, or with 49 in a box. what is the least number of chocolate bars that he has?
2. the blue light of a Christmas light blinks every 2 second. the red light blinks every 3 second and the yellow light blinks every 5 second. how many times will the three lights blink at the same tims in one hour?
3.a wooden straightedge can exactly measure an 825 cm rope, a675 cm rope, and 375 cm rope. what is the least possible length of the straightedge? how many times will it measure each rope? Penny Nom lui répond. 





Two boys on the same route 
20161206 

Abbey pose la question : Starting from the same spot, one boy completed a route in 9 minutes and another boy completed it in 15 minutes. When will both boys be at the same starting point at the same time again? Penny Nom lui répond. 





An airplane schedule 
20161014 

Stephanie pose la question : Starting at 8:00a.m., a passenger plane leaves from an airport every 6 minutes and a cargo plane leaves every 7 minutes. When is the next time these kinds of planes will leave at the same time? Penny Nom lui répond. 





x/200+x/400+x/600+x/800 
20101008 

Ashishthombre pose la question : step by step LCM of x/200+x/400+x/600+x/800 Penny Nom lui répond. 





Three cars 
20100830 

Anil pose la question : 3 cars are moving at speed of 4 kmph,5.5 kmph and 8 kmph in a circular track.The circular track has
a distance of 11 km. What is the time taken for all the 3 cars to meet at the starting point ? Stephen La Rocque lui répond. 





Two bus routes 
20100203 

kiyah pose la question : from 4:30 pm to 6:30 pm the route 1 bus stops every 12 min at the gym's bus stop. the route 2 bus stops there every 15 min. if both buses are now at the stop and schedule is kept, how long will it be before both buses will be at the stop again? Penny Nom lui répond. 





Jogging and swimming 
20090911 

Brandon pose la question : Trevor swims jogs 3 days and swims every 4 days. How often does he jog and swim on the same day Leeanne Boehm lui répond. 





13 year and 17 year locusts 
20071012 

stefan pose la question : how many years pass between the years when both 13 year and 17 year locusts are out at the same time? Penny Nom lui répond. 





Least Common Multiples 
20070920 

Aiyanna pose la question : What is The Lcm Of 3,7,and 8 Because my Teacher gave me That and he didnt even know the answer....
I Worked and worked but I Couldnt Find It..... Penny Nom and Victoria West lui répond. 





The lcm of polynomials 
20070531 

devin pose la question : x^38 , x^34, x^2+4x+4 Penny Nom lui répond. 





Least common multiple 
20061108 

Melenie pose la question : I have a daughter in 5th grade she can't seem to grasp the concept of finding LCM's does anyone have a quick easy way for her to learn????? Stephen La Rocque lui répond. 





Least common multiple 
20060925 

A student pose la question : What is the LCM of 10,45 and 38? Stephen La Rocque lui répond. 





How many people are in the race? 
20060407 

Marty pose la question : You're in a race with 1/5 of the racers ahead of you and 5/6 of them behind you. How many people are in the race? Penny Nom lui répond. 





The Least Common Multiple of two primes 
20060221 

Kristine pose la question : Is the Least Common Multiple to two prime numbers always their product? Why or Why not? Stephen La Rocque lui répond. 





GCF, LCM, primes and the ladder method 
20060107 

Linda pose la question : How would I teach both finding the GCF and LCM with prime factors...I recall the ladder method vaguely.??? Penny Nom lui répond. 





LCM 
20051212 

Alex pose la question : what is the LCM of 210 and 54 and the LCM of 42 and 126 Penny Nom lui répond. 





Least common multiple 
20051022 

Dayna pose la question : I'm stumped! I can't seem to come up with a least common multiple of 22 and 25. Is there one? Penny Nom lui répond. 





The lcm of 5, 3, 4, 7 and 2 
20041105 

Christine pose la question : what is the lcm of 5,3,4,7,2 Penny Nom lui répond. 





The lcm of 1 and 1 
20041103 

Nayiyan pose la question : I would like to know what is the LCM of (1) and (+1) is. Penny Nom lui répond. 





GCD and LCM 
20041031 

Cartalina pose la question : how do you calculate the "positive difference between the GCF and LCM of two numbers"? Penny Nom lui répond. 





The Parliament of the land of Achronia 
20040529 

Christine pose la question : The Parliament of the land of Achronia consists of two houses. The parliament was elected in 2003 for a period of six years beginning on Thursday, the 1st of January 2004, when the two houses had their first sessions. According to the rules, the meetings of the first house must occur every twelve days for the duration of the term, and the meetings of the second house must occur every eighteen days. For example, the second meetings of the first and the second houses were held on the 13th and 19th of January respectively. A new law can be passed on any day when both houses meet, except on a Thursday. On how many days can the parliament members pass new laws during this six year term? Penny Nom lui répond. 





Multiples of all four of the numbers 2, 3, 4, and 5 
20030211 

Stephanie pose la question : How many of the first 1000 positive integers are multiples of all four of the numbers 2, 3, 4, and 5? Penny Nom lui répond. 





Why is 5 divided by 1/7 greater than 5 divided by 2/3? 
20021119 

Elizabeth pose la question :
 Without performing the division, explain why 5 divided by 1/7 is a number greater than 5 divided by 2/3.
 Is the least common multiple of two prime numbers always their product? Why or why not?
Diane Hanson and Penny Nom lui répond. 





Manufactures golf balls 
20011106 

Kevin pose la question : A company manufactures golf balls. Golf balls are each numbered consecutively 0 to 4, and then the numbering starts over with zero again. Every 12th golf ball is yellow. Every 8th golf ball is tested for defects. The company produces 120,000 golf balls in an eighthour shift. A. How many yellow golf balls are tested for defects during the day? Explain your reasoning. B. How many of these yellow balls that are tested are imprinted with the numeral 2? Explain your reasoning. Penny Nom lui répond. 





Locusts 
20011008 

A parent pose la question : JOHN CONJECTURED THAT BOTH 13YR.&17YR. LOCUSTS CAME OUT THE SAME YEAR. ASSUME IT IS CORRECT. HOW MANY YEARS PASS BETWEEN THE YRS. WHEN BOTH 13 YR. & 17YR. LOCUSTS ARE OUT AT THE SAME TIME? EXPLAIN. NEXT, SUPPOSE THERE WERE 12YR.,14 YR.,& 16YR. LO CUSTS,& THEY ALL COME OUT THIS YR. HOW MANY YRS. WILL IT BE BEFORE THEY ALL COME OUT TOGETHER AGAIN? Leeanne Boehm lui répond. 





GCD and LCM 
20010924 

David pose la question : Find the GCD adn LCM of the following numbers. Assume p 2 to the power p, 3 to power q, 5 to power r and 2 to power q, 3 to power r, 7 to power p Penny Nom lui répond. 





A four digit number 
20010217 

Dean pose la question : Need to find a 4 digit number that can be divided by 2, 3, 4, 5, 6, 7, 8, 9, and will always have a remainder of 1 in the answer. Penny Nom lui répond. 





Two number theory questions 
20010130 

Richie pose la question : i have two questions and they are:  the product of three consecutive prime numbers is 7429. Find the product of the smallest and largest of these three integers.
 the least common multiple of two relatively prime positive integers, a and b, is 144. if a (a>or=2) is as small as possible, compute the value of b.
Penny Nom lui répond. 





Factoring, primes, GCF and LCM 
20000227 

Ruth Kroek pose la question : My son is in grade seven, he has to do a Factoring Booklet the areas covered are:  Prime #'s
 Composite #'s
 Rainbow Factoring
 Finding Multiples (consecutive multiples)
 Finding GCF of 23 numbers uning Rainbow factoring
 Finding LCM of 2 numbers using consecutive multiples
 prime factor trees
 prime factor ladders
 finding GCF of 2 numbers using Prime number Method
Although his text 'Math Power' gives some information, we are at a loss .. Penny Nom lui répond. 





Least Common Multiple 
20000216 

Kathy Heath pose la question : The way I understand it is for 2,3,9 the least common multiple is 18. Am I right? If so, I guess the least common multiple for 3,4,7 is 105. Please let me know if I'm right so I can tell my daughter. Denis Hanson lui répond. 





Climbing stairs 
19991222 

Harman Chaudhry pose la question : Paul, Michelle and Michael all climb up 54 steps. Paul climbs the steps one at a time i.e. 1, 2, 3, etc. Michelle Climbs the stairs 2 at a time i.e. 2, 4, 6, etc. Michael climbs the stairs 3 at a time i.e. 3, 6, 9, etc. How many steps are used by exactly two people? Penny Nom lui répond. 





Jose and Arthur 
19990926 

Joel Hammer pose la question : Jose can run around the track in 40 seconds. Arthur runs with Jose but in the opposite direction. They meet every 15 second. How long will it take Arthur to make one trip around the track? Denis Hanson lui répond. 





Where three sequences meet. 
19990306 

Ali pose la question : My name is Ali and I am in the 5th grade. I have a math question: What is the least positive integer meeting each of the following conditions:  Dividing by 7 gives a remainder of 4
 Dividing by 8 gives a remainder of 5
 Dividing by 9 gives a remainder of 6
Help! Denis Hanson lui répond. 





The Board Problem 
19990215 

Avery pose la question : Mr. Avery has 3foot boards and 4foot boards. If he puts the 3foot boards in a line, they have the same length as the 4foot boards put in a line. Altogether he has between 16 and 25 boards. How many 3foot boards does he have? Jack LeSage and Penny Nom lui répond. 





Greatest Common Factor. 
19980109 

Percy Stribling pose la question : how do you figure out what the greater common factor is? Penny Nom lui répond. 





Two Questions 
19970828 

Faye Tan pose la question : I am a trainee teacher. I would appreciate it very much if you could help me solve the following two problems which I think are meant for students at middle grade. 1. If a hen and a half lays an egg and a half in a day and a half, how many hens are needed to lay a dozen eggs in one day? 2. There are fewer than 200 passengers on a train. If they get off in pairs, one passenger will be without a partner. If they get off in groups of 3 or 4, there will still be one passenger left by himself. However, if they get off in groups of 5, no one will be left by themselves. How many passengers are there on the train? Penny Nom lui répond. 





How many digits are there in 2^2520? 
19961007 

Rita Leung pose la question : A)The number 64 is a sq., a cube, and a sixth power because 64=8*8, 4*4*4, 2*2*2*2*2*2. Find the smallest integer greater than 1 that is a sq., a cube, a 4th, 5th, 6th, 7th, 8th, 9th and 10th power. I have found that the answer is 2 to the power 2520th. B) How many digits are in the correct answer to part A? The answer is uncertain. It is either 758 or 759. Can you give me any ideas? Penny Nom lui répond. 

