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For example, we have three primes .

How many multiples (of these three numbers) are up to number

Let's start with two numbers, say 2 and 3. .(These need not be primes.)

Let

Let be the "greatest integer" function.

Defined simply, "divide and round down".

We have: . multiples of 2:

. . . . . . . . multipes of 3:

. . . . . . . . multiple of 6:

The number of multiples of 2or3 is:

. .

. . . . . . . . . .