Question

A student brings a bag of candy to share with the class. The bag of candy can be equally split among 4, 5, or 6 students with each receiving the same number of candies. Which of the following represents the smallest possible number of candies in the bag?

Select one:
A. 6
B. 30
C. 60
D. 90
E. 120

Answer 1

Its C. 60
60/4= 15
60/5= 12
60/6= 10

Answer 2

Answer: C. 60

Step-by-step explanation:

In this situation, they are asking  the least common multiple of 4,5, and 6.

Find the LCM of the numbers or the multiples of the numbers.

Multiples of 4 are  4, 8, 12,16, 20, 24,28,32,36, 40, 44,48,52,56,60.

Multiples of 5 are  5, 10,15,20,25,30,35,40,45,50,55,60.

Multiples of 6 are  6,12,18,24,30,36, 42, 48, 54, 60,

As we can see in their multiples, they do not share the multiple 6 or 30 .

But they all share the number 60 which means that 60  is the least possilbe number of candies in the bag.

Note that is can go on to be 90 or 120 but they are not the smallest ones.