The HCF of two numbers is 16 and their product is 3072. Find their LCM.

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190

194

196

192

answer is D.

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Detailed Solution

It is given that the HCF of two numbers is 16 and their product is 3072.
As the product of the HCF and LCM of two numbers is equal to the product of the two numbers.

\Rightarrow LCM \times HCF = Product of numbers

\Rightarrow LCM \times 16 = 3072

\Rightarrow LCM = \frac{3072}{16}

\Rightarrow LCM = 192

Therefore, the LCM of the two numbers is 192.
Hence, option 4 is correct.

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