Question

LCM of 5,7,4 and 16 ​

Answer 1

Answer:

560

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 4 is:

2 x 2  =>  22

Prime Factorization of 5 shows:

5 is prime  =>  51

Prime Factorization of 7 shows:

7 is prime  =>  71

Prime Factorization of 16 is:

2 x 2 x 2 x 2  =>  24

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, 5, 7

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 2 x 5 x 7 = 560

In exponential form:

LCM = 24 x 51 x 71 = 560

LCM = 560

Therefore,

LCM(4, 5, 7, 16) = 560