Question

LCM of 12 15 18 and 24 using Common division method solving video

Answer 1

Explanation:

: LCM = 2×2×3×2×5×3 = 360. LCM = 360.

Answer 2

Answer:

360

Explanation:

Solution by Prime Factorization

List all prime factors for each number.

Prime Factorization of 12 is:

2 x 2 x 3  =>  22 x 31

Prime Factorization of 15 is:

3 x 5  =>  31 x 51

Prime Factorization of 18 is:

2 x 3 x 3  =>  21 x 32

Prime Factorization of 24 is:

2 x 2 x 2 x 3  =>  23 x 31

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, 3, 5

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 x 3 x 5 = 360

In exponential form:

LCM = 23 x 32 x 51 = 360

LCM = 360

Therefore,

LCM(12, 15, 18, 24) = 360

HOPE IT HELPS

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