How many positive integers less than 100 and divisible by 3 are also divisible by 4?
I want to find the numbers that are multiples of both 3 and 4, which means they are multiples of 12, the least common multiple of 3 and 4. The largest multiple of 12 that is less {100} is 96, so I can divide 96 by 12 to get the number of multiples of 12 that are less than 100. 96 divided by 12 is 8, so there are 8 positive integers less than 100 and divisible by 3 that are also divisible by 4. 