Best Answer

The LCM of 6, 8, and 9 is 72.

Find the LCM of the larger pair first, then find the LCM of that result and the lower number.

LCM is the product of the two numbers divided by the GCF.

8 and 9 have no common factors, so the LCM is 8*9=72

6 is a factor of 72 (6*12), so 72 is the LCM of 6 and 72, so we are done here

72 is the answer.

Another way:

6 is 2^1*3^1

8 is 2^3

9 is 3^2

Take the highest power of each base number, and multiply

The highest power of 2 is 2^3, the highest of 3 is 3^2, and 2^3*3^2=9*8=72

lcm of 6,8,9 is lcm of 2,8,9 which is 8,9 which is 72.

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Q: What is the least common multiple of 6 8 and 9?

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