What is the greatest common multiple of 8 and 12 that is less than 90?
To find the greatest common multiple of 8 and 12, I need to think of the multiples of 8 and 12 and compare them. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, etc. The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, etc. I notice that some multiples are common to both 8 and 12, such as 24, 48, and 72. I see that 72 is the largest common multiple that satisfies this condition, since the next one, 96, is too big. Therefore, the greatest common multiple of 8 and 12 that is less than 90 is 72. 