Question

Find The LCM Of

48, 108, 120 ​

Answer 1

Answer:

The L.C.M is =2160

Step-by-step explanation:

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Answer 2

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➡️Solution by Prime Factorizatoin

List all prime factors for each number.

Prime Factorizatoin of 48  is:

 is:2 x 2 x 2 x 2 x 3  =>  2⁴ x 3¹

prime Factorization of 108  is:

 is:2 x 2 x 3 x 3 x 3  =>  2²x 3³

prime Factorization of 120  is:

 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.

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 

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, 3, 3, 5

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, 3, 3, 5Multiply these factors together to find the LCM.

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, 3, 3, 5Multiply these factors together to find the LCM.LCM = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 2160

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, 3, 3, 5Multiply these factors together to find the LCM.LCM = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 2160In exponential form:

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, 3, 3, 5Multiply these factors together to find the LCM.LCM = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 2160In exponential form:LCM = 24 x 33 x 51 = 2160

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, 3, 3, 5Multiply these factors together to find the LCM.LCM = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 2160In exponential form:LCM = 24 x 33 x 51 = 2160LCM = 2160

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, 3, 3, 5Multiply these factors together to find the LCM.LCM = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 2160In exponential form:LCM = 24 x 33 x 51 = 2160LCM = 2160Therefore,

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, 3, 3, 5Multiply these factors together to find the LCM.LCM = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 2160In exponential form:LCM = 24 x 33 x 51 = 2160LCM = 2160Therefore,LCM(48, 108, 120) = 2160

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