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
Answer (1)
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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