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What is the least common multiple of 8, 7, and 2?

User Celil
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2 Answers

14 votes

Answer:

1 i know its one hope it help

User Egon Willighagen
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8.2k points
11 votes

Explanation:

List all prime factors for each number.

Prime Factorization of 2 shows:

2 is prime => 21

Prime Factorization of 7 shows:

7 is prime => 71

Prime Factorization of 8 is:

2 x 2 x 2 => 23

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, 7

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 7 = 56

In exponential form:

LCM = 2^3 x 7^1 = 56

LCM = 56

Therefore,

LCM(2, 7, 8) = 56

User Alphaneo
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