Question

LCM and HCF of two number are 504 and 6 respectively if one number is 72 then other number is​

Answer 1

$\frac{504 \times 6}{72} = other \: number$

$42 \: is \: the \: other \: number.$

Answer 2

The other number is equal to 42.

Step-by-step explanation:

Given,

The LCM of two numbers = 504 and

The HCF of two numbers = 6

One number = 72

To find,  the other number = ?

Let the other number = x

We know that,

LCM × HCF = Product of two numbers

⇒ 72 × x = 504 × 6

⇒  x = $\dfrac{ 504 \times 6}{72}$

⇒ x = 7 × 6

⇒ x = 42

∴ The other number = 42

Thus, the other number is equal to 42.