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Factoring each number into product of primes:
5=1 x 5
7 = 1 x 7
9 = 3 x 3, 1 x 9
The number 5 is a factor of 5 only; Include 5 in answer
The number 7 is a factor of 7 only; Include 7 in answer
The number 3 is a factor twice of 9; Include 3x3 in answer
Therefore,
LCM(5,7,9) = 3 x 3 x 5 x 7 = 315
Additional content regarding LCM may be referenced at
http://www.math.info/Arithmetic/LCM
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