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
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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