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What is the least common denominator of 6, 9, and 17?

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asked Apr 10, 2013 in PRE-ALGEBRA by rockstar Apprentice

1 Answer

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list the prime factors of each number

prime factors of 6 = 2 x 3

prime factors of 9 = 3 x 3

prime factors of 17 = 1 X 17

LCM is the product of each factor the greatest number of times it occurs in any number.

LCM = 2 * 3 * 3 * 17 = 306

Least common multiple of 6, 9 and 17 is 306

Therefore least common denominator is 306.

answered Apr 12, 2013 by diane Scholar

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