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Q.

State true or false:

HCF of two numbers is always a factor of their LCM.

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a

True

b

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 2×2.
The factors of 10 is 5×2.
⇒HCF(4,10)=2
⇒LCM(4,10)=20
As, 2×10=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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