Question

the hcf of two numbers is 144 and their LCM is 2880 if one number is 720 find the other

Answer 1

HCF×LCM=product of two numbers
144×2880=720×other number
4158720÷720= other number
5776=other number

Answer 2

Acc. to the equation.

HCF×LCM= product of two numbers.

Let x be the Second number.

So 144×2880=720×x
→(144×2880)/720 =x
→x=144×4
→x=576.

So 576 is your required Number.

Checking.

720×576=414,720

HCF×LCM=144×2880=414,720.

Hence Proved