Question

find the HCF of 105&1515 by the prime factorization method from that find the LCM​

Answer 1

Answer:

fialgibrice identiyes

Answer 2

Hi,

Expressing 105 and 1515 as product

of primes

105 = 3 x 5 x 7

1515 = 3 x 5 x 101

HCF ( 105, 1515 ) = 3 x 5 = 15

We know that,

For any two positive integers a and b

HCF( a , b) * LCM ( a , b ) = a xb

Here,

a = 105 , b = 1515

HCF( 105 , 1515 ) = 15,

LCM = ?

HCF x LCM = 105 × 1515

15 x LCM = 105 × 1515

LCM = ( 105 x 1515 ) / 15

= 105 x 101

LCM ( 105 , 1515)= 10605

I hope this helps you.