Question

find the lcm 24,40,80,120​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer: 240

Explanation:  

Prime Factorization of 24 is:

2 x 2 x 2 x 3  =>  23 x 31

Prime Factorization of 40 is:

2 x 2 x 2 x 5  =>  23 x 51

Prime Factorization of 80 is:

2 x 2 x 2 x 2 x 5  =>  24 x 51

Prime Factorization of 120 is:

2 x 2 x 2 x 3 x 5  =>  23 x 31 x 51

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, 3, 5

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 2 x 3 x 5 = 240

In exponential form:

LCM = 24 x 31 x 51 = 240

LCM = 240

Therefore,

LCM(24, 40, 80, 120) = 240

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