If the HCF of two number is 16 and their product is 3072, then their LCM is

(a) 182
(b) 192
(c) 12
(d) None of these

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Solution

(b) 192
We know:
HCF × LCM = Product of two numbers
∵ 16 × LCM = 3,072
∴ $LC M = \frac{3, 072}{16} = 192$

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