Question

Find the LCM of 100,150,200 using common division method

Answer 1

Step-by-step explanation:

Lcm is 600 this is your answer

Answer 2

List all prime factors for each number.

Prime Factorization of 100 is:

2 x 2 x 5 x 5  =>  22 x 52

Prime Factorization of 150 is:

2 x 3 x 5 x 5  =>  21 x 31 x 52

Prime Factorization of 200 is:

2 x 2 x 2 x 5 x 5  =>  23 x 52

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, 5

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 x 5 x 5 = 600

In exponential form:

LCM = 23 x 31 x 52 = 600

LCM = 600

Therefore,

LCM(100, 150, 200) = 600

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