Math, asked by ujjwal2461, 9 months ago

LCM of 91,49,112 by prime factorization

Answers

Answered by Anonymous
2

Answer: 10192

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 49 is:

7 x 7 => 72

Prime Factorization of 91 is:

7 x 13 => 71 x 131

Prime Factorization of 112 is:

2 x 2 x 2 x 2 x 7 => 24 x 71

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, 7, 7, 13

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 2 x 7 x 7 x 13 = 10192

In exponential form:

LCM = 24 x 72 x 131 = 10192

LCM = 10192

Therefore,

LCM(49, 91, 112) = 10,192

Hope it helps u

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Answered by Anonymous
1

Answer:

above ansr is crrct...mark it as brainliest

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