Question

Given the HCF (2520,6600) = 40, LCM(2520,6600) = 252 X k. find the value of k.

Answer 1

hcf * lcm = product of the given nos.
so, A/Q 
40 * 252 * k = 2520 * 6600
k = 2520 * 6600 / 40 * 252
k= 16632000 / 10080
k = 1650

Answer 2

Answer:

The value of k is 1650

Solution:

Given,

Two numbers are 2520 and 6600.

HCF of 2520 and 6600 = 40,

LCM of 2520 and 6600 = 252 × k

We know that,

The product of the “HCF” and the “LCM” of the two numbers is equal to the “Product of the two numbers”.

HCF of 2 numbers × LCM  of 2 numbers = Product of the 2 numbers

$\begin{array} { c } { 40 \times ( 252 \times k ) = 2520 \times 6600 } \\\\ { 40 \times 252 \times k = 2520 \times 6600 } \\\\ { k = \frac { 2520 \times 6600 } { 40 \times 252 } } \\\\ { k = 1650 } \end{array}$

Thus,  the value of k is 1650.