Question

what is the lcm and gcm in 33 81 27

Answer 1

List all prime factors for each number.

Prime Factorization of 27 is:

3 x 3 x 3  =>  33

Prime Factorization of 33 is:

3 x 11  =>  31 x 111

Prime Factorization of 81 is:

3 x 3 x 3 x 3  =>  34

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

3, 3, 3, 3, 11

Multiply these factors together to find the LCM.

LCM = 3 x 3 x 3 x 3 x 11 = 891

In exponential form:

LCM = 34 x 111 = 891

LCM = 891

Therefore,

LCM(27, 33, 81) = 891

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