What's the least number?

A barrel of candies can be shared equally (without cutting any pieces) among five, six, or eleven children. What is the least number of candies the barrel can contain?

the answer is 11 (i think)

A couple of questions first:

Are we going to divide the candy box equally between those 2,3 or 7 person at one event - (at the same time) ?

Are there 12 persons to take into consideration and that each gets the same number of candy pieces?

Are the 3 persons (and the other 2 as well) - different individuals from those who are the 7 referred to. If not then we have to consider 2 more persons.

So does the equal division of candy pieces have to be made between a minimum of 7, 10 or 12 individuals (2+3+7) ?

The lowest common denominator is going to be 42. (2 x 3 x 7) Therefore seven persons would each get 6 pieces.)

But if the 2 and 3 people are diffèrent persons than the 7, they will get an equal share ie. 6 pieces each, as well!

2 x 6 = 12

3 x 6 = 18

7 x 6 = 42

So, the box would have to contain at least 72 pieces of candy / / chocolates or 6 dozens. And every one of the 12 would be happy with his 6 chocolates.