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Relation between HCF and LCM

The H.C.F of ...

Question

The H.C.F of two numbers is 16 and their product is 3072. Find their L.C.M.

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Solution

Given:
HCF of two numbers = 16
Product of these two numbers = 3,072

Product of the two numbers = Product of their HCF and LCM

∴ 3,072 = 16 × LCM

LCM = $= \frac{3072}{16} = 192$
Thus, the required LCM is 192.

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