Question

The LCM and HCF of two numbers are 240 and 12 respectively. If one of the numbers
is 60, then find the other number.

Answer 1

Take that number a and b so
a = 60
b = ?
LCM = 240
HCF = 12

according to mathematics law

LCM × HCF = a × b

LCM × HCF/a = b

240 × 12 /60 = b

48 = b

so the onother number is = b = 48

Answer 2

Given,

The  LCM and HCF of two numbers are 240 and 12 respectively. One of the numbers is 60.

To Find,

What is the other number =?

Solution,

It is given to us that the LCM and HCF of two numbers are 240 and 12 respectively. One of the numbers is 60. We have to find the other number.

We know that the product of two given numbers is equal to the product of their HCF and LCM.

$Product\: of\: two\: numbers = Product\: of\: their\: HCF\: and\: LCM$

Let the other number be equal to x. Then,

$60*x = 240*12$

$60*x = 2880$

$x = \frac{2880}{60} = 48$

Hence, the other number is 48.