Question

LCM of 28, 63,77, 154​

Answer 1

Answer:

2,772

Step-by-step explanation:

please follow me

Answer 2

List all prime factors for each number.

Prime Factorization of 28  is:

2 x 2 x 7  =>  22 x 71

Prime Factorization of 63  is:

3 x 3 x 7  =>  32 x 71

prime Factorization of 77  is:

7 x 11  =>  71 x 111

Prime Factorization of 154  is:

2 x 7 x 11  =>  21 x 71 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, 3, 3, 7, 11

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 3 x 7 x 11 = 2772

In exponential form:

LCM = 22 x 32 x 71 x 111 = 2772

LCM = 2772

Therefore,

LCM(28, 63, 77, 154) = 2772