Question

The LCM and HCF of two number are 504 and 18 respectively. Find the number if one number is 126.

Answer 1

Let the other no. be a .

LCM × HCF = Product of two numbers

504 × 18 = 126 × a

a = 9072 / 126

a = 72

Hence , the other number is 72 .

Answer 2

Given:

LCM = 504

HCF = 18

One number= 126

To Find :

The other number

Solution:

Let the other number be N

Product of two numbers = LCM x HCF

According to the question:

=> N x 126 = 504 x 18

=> 126N = 9072

=> N = 9072/126

=> N = 72

The other number = 72

Verification:

Product of two numbers = LCM x HCF

72 x 126 = 504 x 18

9072 = 9072

Hence, The other number = 72