Question

If it is possible for two numbers to have 12 as H.C.F and 350 as their L.C.M. Justify your answer.

Answer 1

Let ten two numbers be x and y
Given that HCF (x, y) =12
and LCM(x,y)=350
we know HCF×LCM=x×y
so, 12×350=x×y
x×y=4200.....(i)
and LCM=x×y/HCF
putting equation (i)
LCM=4200/12=350
so,LCM is right
now,HCF=x×y/LCM=4200/350=12
so, HCF is also right
Which shows that It is possible for Two numbers having HCF=12 and LCM=350
I HOPE THIS WILL HELP YOU MARK ME BRAINLIEST

Answer 2

One property between of HCF and LCM of two numbers is that LCM is always the multiple of HCF.

For example.

Consider two numbers - 45 and 70.

HCF - 5

And LCM - 630

Here you can see that LCM is multiple of the HCF.

Now you can take any other numbers of your choice, find their LCM and HCF, and answer your own question.