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

Question

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Answer 1

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.