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Question : The product of two numbers is 216. If the HCF is 6, then their LCM is:

Option 1: 72

Option 2: 60

Option 3: 48

Option 4: 36


Team Careers360 1st Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 36


Solution : Let the numbers be 'a' and 'b'.
Given:
(a × b) = 216
HCF of 'a' and 'b' = 6
Let LCM of 'a' and 'b' = X
⇒ a × b = 6 × X
⇒ 216 = (6 × X)
⇒ X = $\frac{216}{6}$
⇒ X = 36
Hence, the correct answer is 36.

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