Which is the common multiple of 8 9 and 12?32 96 108 216 238
The common multiple of 8, 9, and 12 is 72, which is not one of the options provided. However, 216 is also a common multiple of 8, 9, and 12, so the answer is 216.
To find the common multiple of 8, 9, and 12, we need to list the multiples of each number and find the smallest number that appears in all three lists.
The multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, ...
The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, ...
The multiples of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, ...
Looking at the lists, we can see that 72 is the smallest number that appears in all three lists. Therefore, the common multiple of 8, 9, and 12 is 72.
So, the answer is 72.