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

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Question

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

True or False

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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Chapter 1: Real Numbers - Exercise 1.7 [Page 58]

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RD Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercise 1.7 | Q 21 | Page 58

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