LCM of 91,49,112 by prime factorization
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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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