32,44,22 find the LCM of the given numbers of prime factorization Question 32,44,22 find the LCM of the given numbers of prime factorization in progress 0 Math Charlie 3 days 2021-09-13T20:46:33+00:00 2021-09-13T20:46:33+00:00 1 Answer 0 views 0

## Answers ( )

Answer:352

Step-by-step explanation:List all prime factors for each number.

Prime Factorization of 22 is:

2 x 11 => 21 x 111

Prime Factorization of 32 is:

2 x 2 x 2 x 2 x 2 => 25

Prime Factorization of 44 is:

2 x 2 x 11 => 22 x 111

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

2, 2, 2, 2, 2, 11

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 2 x 2 x 11 = 352

In exponential form:

LCM = 25 x 111 = 352

LCM = 352

Therefore,

LCM(22, 32, 44) = 352