There are 1,000 positive integers between 1,000 and 9,999, inclusive, that are divisible by nine.
Of the 729 numbers that satisfy the requirement of positive integers, 104 are divisible by 7.
193 of them are divisible by one (or more) of the given numbers.
Between 100 and 999 there are 448.
450450450450
The positive integers between 4 and 9 inclusive are 4, 5, 6, 7, 8, 9.
There are 100 integers between 1,234 and 2,345 that are divisible by 11.
There are 22 integers between them.
There are 39 natural numbers between 1,000 and 1,500, inclusive, that are divisible by 13.
There are 128 integers between 100 and 1000 that are divisible by seven.
Oh, dude, let me break it down for you. So, first, you find how many numbers are divisible by 6, which is 166. Then you find how many are divisible by 21, which is 47. But wait, don't forget to subtract the ones divisible by both 6 and 21, which is 7. So, the total is 166 + 47 - 7 = 206 integers that fit the bill. Easy peasy!
7