Question

32,44,22 find the LCM of the given numbers of prime factorization​

Answer 1

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