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Question

Find the LCM of 12, 15 and 18 using prime factorisation method.


A
80
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B
90
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C
180
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D
60
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Solution

The correct option is C 180
Using prime factorisation,

12=2×2×3
15=3×5
18=2×3×3

The prime factors here are 2, 3, 5
The LCM of the two numbers is the product of the prime factors
counted the maximum number of times they occur in any of the numbers.

2 occurs twice, 3 occurs twice, 5 occurs once.

LCM=2×2×3×3×5=4×9×5=180

Therefore, LCM of 12, 15, 18 is 180.

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