Calculus Multiplicative Principles

Question

For how many n∈{1,2,...,2562} is n a multiple of one or more of 3, 5, or 12?

Answer 1

1/3 or 854 are divisible by 3

Of the remaining 1708 1/5 or 341 are divisible by 5.

How many of the remainder are divisible by 12.

Again note that the critical word in your problem is OR.