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# What is the least common multiple of 15, 18, and 24?

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Math Expert
Joined: 02 Sep 2009
Posts: 60515
What is the least common multiple of 15, 18, and 24?  [#permalink]

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12 Apr 2016, 02:24
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Difficulty:

5% (low)

Question Stats:

89% (00:56) correct 11% (00:53) wrong based on 62 sessions

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What is the least common multiple of 15, 18, and 24?

A. 60
B. 120
C. 240
D. 360
E. 720

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Joined: 06 Nov 2014
Posts: 1868
Re: What is the least common multiple of 15, 18, and 24?  [#permalink]

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13 Apr 2016, 01:42
Bunuel wrote:
What is the least common multiple of 15, 18, and 24?

A. 60
B. 120
C. 240
D. 360
E. 720

Let us first write the numbers in the form of prime factors:

15 = 3*5
18 = 2*3^2
24 = 2^3*3

The LCM would be the largest powers of the prime numbers from all these three numbers.
In this case, we get 2^3 from 24, 3^2 from 18 and 5 from 15
Hence LCM = 2^3*3^2*5 = 360
Option D
Re: What is the least common multiple of 15, 18, and 24?   [#permalink] 13 Apr 2016, 01:42
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