Question

the LCM and HCF of two numbers are 180 and 6 respectively. if one of the number is 30, find the other number

Answer 1

hi friend .,

<>we know that LCM×HCF =product of numbers

let x be another number

→180(6)=30x


→36=x

so, the other number is 36

I hope this will help u :)

Answer 2

The other number is 36

Given:

LCM = 180

HCF = 6

Step-by-step explanation:

LCM = Lowest Common Multiple

HCF = Highest Common Factor

We know that,

The product of two numbers’ Lowest Common Multiple and Highest Common Factor is equal to the product of that two number.

$\text{LCM} \times \text{HCF} = \text{Product of two numbers}$

Let one number be X.

$180 \times 6=X \times 30$

On rearranging, we get,

$X=\frac{180 \times 6}{30}$

On cancelling, we get,

$\Rightarrow X=36$