Question

14.a)Find the HCF of 24, 108 ,120 by prime factorization method
b)Find LCM by common division method 24, 25, 60.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Solution :

By prime factorisation , we get

` 108 = ( 2^(2) xx 3^(3)`

` 120 = ( 2^(3) xx 3 xx5)`

` 252 = ( 2 ^(2) xx 3^(2)xx 7)`

HCF ( 108,120,252) = product of common terms with lowest power

` (2^(2) xx3) = ( 4 xx 3) =12`

LCM ( 108,120,252) = product of prime factors with highest power

` = ( 2^(2) xx 3^(3) xx 5xx7) = 7560`

HCF= = 12 and LCM = 7560