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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

This statement is 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 - VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) [Page 1.43]

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R.D. Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) | Q 18. | Page 1.43
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