Question

Find hcf of 105 and 1515 by prime factorisation method.Hence, find their lcm also

Answer 1

Answer:

Hi ,

Expressing 105 and 1515 as product

of primes

105 = 3 × 5 × 7

1515 = 3 × 5 × 101

HCF ( 105, 1515 ) = 3 × 5 = 15

We know that ,

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For any two positive integers a and b

HCF( a , b ) × LCM( a , b ) = a × b

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Here ,

a = 105 , b = 1515

HCF( 105 , 1515 ) = 15 ,

LCM = ?

HCF × LCM = 105 × 1515

15 × LCM = 105 × 1515

LCM = ( 105 × 1515 ) / 15

= 105 × 101

LCM ( 105 , 1515 )= 10605

I hope this helps you.

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