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Question

HCF (16, 256) = 16, then the LCM (16, 256) = .

A
256
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B
16
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C
128
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Solution

The correct option is A 256
We know that, the product of the numbers will be equal to the product of LCM and HCF os the numbers.

If a and b are the two numbers, then,
a×b=LCM(a,b)×HCF(a,b).

Given: a = 16, b = 256, HCF (16, 256 ) = 16
To find : LCM (16, 265)

16×256=16×LCM(16,256)LCM(16,256)=16×25616=256

Hence, the LCM (16, 256) = 256.

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