Question

21. Find the LCM and HCF of 840 and 144 by applying the Fundamental Theorem of Arithmetic. OR
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Answer 1

Answer:

Solution :-

Fundamental Theorem of Arithmetic -

The Fundamental Theorem of Arithmetic says that every composite number can be factorized as a product of prime numbers and this factorization is unique, apart from the order in which the prime factors occur.

840 = 2*2*2*3*5*7

144 = 2*2*2*2*3*3

L.C.M. of 840 and 144 = 2*2*2*2*3*3*5*7

= 5040

H.C.F. of 840 and 144 = 2*2*2*3

= 24

Answer.

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