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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
A. 60
B. 120
C. 240
D. 360
E. 720
30 Mar 2020, 11:09
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15 = 3*5
18 = 2*3*3
24 = 2*2*2*3
The LCM will be found by taking common multiples and multiplying by remaining prime numbers.
Also if you know how to find HCF, Then you can use a*b*c=HCF*LCM.
Option D
18 = 2*3*3
24 = 2*2*2*3
The LCM will be found by taking common multiples and multiplying by remaining prime numbers.
Also if you know how to find HCF, Then you can use a*b*c=HCF*LCM.
Option D
General Discussion
13 Apr 2016, 01:42
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Bunuel
What is the least common multiple of 15, 18, and 24?
A. 60
B. 120
C. 240
D. 360
E. 720
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
