find the LCM of 9, 30 and 108. plz give me the answer with brief explanation and with solved LCM
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Least Common Multiple is :
540
Calculate Least Common Multiple for :
9, 30 and 108
Factorize of the above numbers :
9 = 32
30 = 2 • 3 • 5
108 = 22 • 33
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
9 Number
30 Number
108 L.C.M
(max)
2 0 1 2 2
3 2 1 3 3
5 0 1 0 1
LCM = 22 • 33 • 5
Least Common Multiple is :540
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