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Hcf of Two Numbers is Always a Factor of Their Lcm (True/False).

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Question

HCF of two numbers is always a factor of their LCM (True/False).

True or False
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Solution

HCF of two numbers is always a factor of their LCM
True
Reason:

The HCF is a factor of both the numbers which are factors of their LCM.

Thus the HCF is also a factor of the LCM of the two numbers.

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