CTET 2 Math and Science 07 Jul 2024 Paper

For any two numbers, the product of their LCM and HCF is equal to the product of the numbers themselves.
Calculation:
Let the two numbers be 3 x and 7 x
The LCM of these Numbers $=630$
$\Rightarrow$ We can express the LCM as LCM = Product of Numbers/ HCF
But first, let's express LCM directly for the two numbers in the simplest form as
LCM of $3\mathit{x}$ and $7\mathit{x}=21\mathit{x}$
$\Rightarrow 21\mathit{x}=630$
$\Rightarrow \mathit{x}=30$
So, the numbers are 90 and 210
Now the HCF of 90 and 210 is 30 (since $\mathit{x}=30$ )
Now, add the LCM and HCF:
$\Rightarrow 630+30=660.$