Question

State fundamental theorem of Arithmetic. is it possible for the HCF and LCM of two numbers to be 18 and 378 respectively? justify your answer.

Answer 1

Hi ,

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Fundamental Theorem of Arithmetic:

Every composite number can be

expressed as a product of primes ,

and this factorization is unique , apart

from the order in which the prime

factors occur.

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It is given that ,

HCF of two numbers = 18

LCM = 378

It is possible .

Because , HCF is always a factor of

LCM.

Here ,.

LCM = 378

= 18 × 21

= HCF × 21

I hope this helps you.
: )