10
(they are 105, 126, 147, 168, 189, 210, 231, 252, 273, and 294)
128!
There are 457 such numbers.
10
193 of them are divisible by one (or more) of the given numbers.
9000 integers.
There are 67 multiples of 6 and 50 multiples of 8 in that range. Their total, 117, will include numbers that are both.
There are 3,333 multiples of three that fall between 1 and 10,000.
128!
There are 57 such numbers.
There are 457 such numbers.
To find the integers between 100 and 150 that can be divided by either 3 or 4, we can first calculate the multiples of 3 and 4 in that range. The multiples of 3 between 100 and 150 are 102, 105, ..., 150, giving us 17 multiples. The multiples of 4 are 100, 104, ..., 148, which gives us 13 multiples. We also need to exclude the overlap (multiples of 12) which are 108, 120, 132, 144, totaling 4. Thus, the total count is 17 + 13 - 4 = 26 integers.
10
LCM of 3 and 7 under 40 is 21
10 of them.
There are 5 multiples of 9. There are 4 multiples of 12. There is 1 number that is a multiple of both, 36.
750
All the multiples of 4 are also multiples of 2.