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In Mathematics / High School | 2014-05-28

How do I find the Least Common Multiple (LCM) of 20, 44, and 88?

Asked by Tammi16

Answer (2)

20 , 44 , 88 ∣ 2 10 , 22 , 44 ∣ 2 5 , 11 , 22 ∣ 22 = 2 ⋅ 11 L e a s t C o mm o n M u lt i pl e o f 20 , 44 an d 88 : L CM ( 20 , 44 , 88 ) = 2 ⋅ 2 ⋅ 5 ⋅ 11 ⋅ 2 = 440 ( 440 : 20 = 22 , 440 : 44 = 10 , 440 : 88 = 5 ) A n s . L CM ( 20 , 44 , 88 ) = 440

Answered by kate200468 | 2024-06-10

The Least Common Multiple (LCM) of the numbers 20, 44, and 88 is 440. This is found by taking the highest powers of all prime factors involved. After analyzing the prime factorizations, the LCM is calculated as 2 3 ⋅ 5 1 ⋅ 1 1 1 = 440 .
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Answered by kate200468 | 2025-01-05