Question

find the LCM of these ​

Answer 1

Answer:

Prime Factorization of 120 is:

2 x 2 x 2 x 3 x 5  =>  23 x 31 x 51

Prime Factorization of 520 is:

2 x 2 x 2 x 5 x 13  =>  23 x 51 x 131

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, 3, 5, 13

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 x 5 x 13 = 1560

In exponential form:

LCM = 23 x 31 x 51 x 131 = 1560

LCM = 1560

Therefore,

LCM(120, 520) = 1560

Step-by-step explanation: