#### Answer

36

#### Work Step by Step

The LCM of a group of numbers is the smallest number into which the original numbers divide. Therefore, we can list the multiples of each number, and the number that first appears as a multiple of all of the numbers will be the LCM.
6- 6, 12, 18, 24, 30, 36
9- 9, 18, 27, 36
12- 12, 24, 36
Therefore, 36 is the LCM of 6, 9 and 12.