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State true or false:
HCF of two numbers is always a factor of their LCM.

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True

False

answer is A.

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Detailed Solution

We have to check whether the HCF of two numbers is always a factor of their LCM.
Take an example of two numbers

a = 4

and

b = 10

.
The factors of 4 is

2 \times 2

.
The factors of 10 is

5 \times 2

\Rightarrow HCF (4, 10) = 2

\Rightarrow LCM (4, 10) = 20

As,

2 \times 10 = 20

So, 2 is a factor of 20.
Therefore, it is true that HCF of two numbers is always a factor of their LCM.
Hence, option 1 is correct.

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