#### Answer

48

#### 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 6, 8, and 16, we can write the multiples of both numbers and find the first multiple that all three numbers have in common.
6- 6, 12, 18, 24, 30, 36, 42, 48
8 - 8, 16, 24, 32, 40, 48
16- 16, 32, 48
Therefore, the LCM of 6, 8, and 16 is 48.