HCF of two numbers is always a factor of their LCM (True/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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Similar questions

For any 2 natural numbers, their LCM is always divisible by their HCF. State with true or false.

Q. Write 'T' for true and 'F' for false statement.
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(ii) Every even number is composite.
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(iv) The sum of two even numbers is always even.
(v) The HCF of two given numbers is always a factor is their LCM.

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In the following question, state whether the given statement is true (T) or false (F).
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In the following question, state whether the given statement is true (T) or false (F).
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HCF of two numbers is always a factor of their LCM (True/False).

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.

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.