Question

A batch of cookies can be divided into equal shares among 2, 3, 4, 5 or 6people with no cookies left over. What is the least number of cookies that the batch could have? If the batch of cookies is divided into equal shares among 7 people, how many cookies are left?

Answer 1

Answer:

60

Step-by-step explanation:

This type of problem is called the least common multiple. The generic solution is to make prime factorizations of all the numbers in the group and for every prime that occurs anywhere choosing the highest power. Multiply all those together.

In this case, we need 2x2 from 4, a single 3 from either 3 or 6, and a 5 from 5, 2x2x3x5=60.