Lcm of 8, 12 ,10, 20

1.	Lcm of 8, 12 ,10, 20
Answer» Answer: LCM = 120 Solution by Prime FACTORIZATION List all prime factors for each number. Prime Factorization of 8 is: 2 X 2 x 2 => 23 Prime Factorization of 10 is: 2 x 5 => 21 x 51 Prime Factorization of 12 is: 2 x 2 x 3 => 22 x 31 Prime Factorization of 20 is: 2 x 2 x 5 => 22 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, 3, 5 Multiply these factors together to find the LCM. LCM = 2 x 2 x 2 x 3 x 5 = 120 In exponential form: LCM = 23 x 31 x 51 = 120 LCM = 120 Therefore, LCM(8, 10, 12, 20) = 120

Answer»

Answer:

LCM = 120

Solution by Prime FACTORIZATION

List all prime factors for each number.

Prime Factorization of 8 is:

2 X 2 x 2 => 23

Prime Factorization of 10 is:

2 x 5 => 21 x 51

Prime Factorization of 12 is:

2 x 2 x 3 => 22 x 31

Prime Factorization of 20 is:

2 x 2 x 5 => 22 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, 3, 5

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 x 5 = 120

In exponential form:

LCM = 23 x 31 x 51 = 120

LCM = 120

Therefore,

LCM(8, 10, 12, 20) = 120

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