Answer
72
Work Step by Step
The least common multiple (LCM) of a group of numbers is the smallest number that is divisible by all of the numbers in the group. In order to find the LCM of 9, 18, and 24, we can write the multiples of both numbers and find the first multiple that all three numbers have in common.
9- 9, 18, 27, 36, 45, 54, 63, 72
18 - 18, 36, 54, 72
24- 24, 48, 72
Therefore, the LCM of 9, 18, and 24 is 72.