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Mr. Barkley has box of books. Number of books is divisible by 2,3,4,5,6. How many books could be in the box?

User Nonna
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2 Answers

4 votes
There are 60 books in the box.
User Mborsuk
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2 votes

Answer:

60 books

Explanation:

We have to find the least common multiple, wich is a number that is a multiple of all the numbers we have: 2,3,4,5,6

If we start with 2 the multiples will be:

2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60

Multiples of 3:

3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60

With 4:

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

Multiples of 5:

5,10,15,20,25,30,35,40,45,50,55,60

Multiples of 6:

6,12,18,24,30,36,42,48,54,60

The least common multiple, in this case, is 60 because it is the first number that is a multiple of all other numbers.

So the box has 60 books or a multiple of 60.

User Abdesselam
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