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What Is the LCM or Least Common Multiple of 22 , 24 and 30?​

Sagot :

Answer:

LCM(22, 24, 30) = 1320

Step-by-step explanation:

Prime Factorization of 22 is:

2 x 11  =>  21 x 111

Prime Factorization of 24 is:

2 x 2 x 2 x 3  =>  23 x 31

Prime Factorization of 30 is:

2 x 3 x 5  =>  21 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, 3, 5, 11

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 x 5 x 11 = 1320

In exponential form:

LCM = 23 x 31 x 51 x 111 = 1320

LCM = 1320

Therefore,

LCM(22, 24, 30) = 1320