Question

L.C .M of 1632, 192 , 361​

Answer 1

PLZ MARK ME BRAINLIEST

Answer:

1,178,304

Step-by-step explanation:

Prime Factorization of 192 is:

2 x 2 x 2 x 2 x 2 x 2 x 3  =>  26 x 31

Prime Factorization of 361 is:

19 x 19  =>  192

Prime Factorization of 1632 is:

2 x 2 x 2 x 2 x 2 x 3 x 17  =>  25 x 31 x 171

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, 2, 3, 17, 19, 19

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 19 x 19 = 1178304

In exponential form:

LCM = 26 x 31 x 171 x 192 = 1178304

LCM = 1178304

Therefore,

LCM(192, 361, 1632) = 1,178,304