Question

solve this question 6, 8, 15, 21 LCm​

Answer 1

Answer:

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 6 is:

2 x 3  =>  21 x 31

Prime Factorization of 8 is:

2 x 2 x 2  =>  23

Prime Factorization of 15 is:

3 x 5  =>  31 x 51

Prime Factorization of 21 is:

3 x 7  =>  31 x 71

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, 7

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 x 5 x 7 = 840

In exponential form:

LCM = 23 x 31 x 51 x 71 = 840

LCM = 840

Therefore,

LCM(6, 8, 15, 21) = 840

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