I need a some help with the following problem. Not sure how to start.

You have 50 integers.

27 of these can be divided by 3

17 of them can be divided by 5

16 of them can be divided by 6

11 of them can be divided by 10

7 of them can be divided by 15

4 of them can be divided by 30.

3 of the numbers can't be divided by either 2,3 or 5.

How many of the original 50 integers are even numbers?

Thanks in advance

Yahikko