Question

Any 1 who could help me with the question !!!.....
given that HCF(2520 ,6600)=40 and LCM(2520 ,6600)=252 × k,then find the value of k.

Answer 1

Hey mate !!

Here's your answer !!

Given :

HCF ( 2520, 6600 ) = 40

LCM ( 2520, 6600 ) = 252 * K

To Find :

K = ?

Proof :

We know that, LCM * HCF = Product of two numbers

=> ( 252 * k ) * ( 40 ) = 2520 * 6600

=> 10080 * k = 16632000

=> K = 16632000 / 10080

=> K = 1650

Hence value of K is 1650.

Hope my answer helped !!

Cheers !!

Answer 2

Hi ,

****************************

We know that ,

If a, b are two positive Integers and

their HCF = H , LCM = L then

a × b = L × H

********************************

Now ,

a = 2520 ,

b = 6600 ,

H = 40 ,

L = 252 × k

L × H = a × b

252 × k × 40 = 2520 × 6600

k = ( 2520 × 6600 )/( 252 × 40 )

= 1650

Therefore ,

k = 1650

I hope this helps you.

: )