Question

If the product of two numbers is 2160 and their HCF is 12 what will be the LCM.With steps.

Answer 1

let the 2 numbers be a and b.Then according to question:
a*b = 2160
HCF of a and b = 12
We have a relation:
LCM of a and b = Product of 2 numbers a and b / HCF of a and b
so, LCM = 2160/12 = 180

Answer 2

let the two numbers be x and y
their hcf =h=12

lcm =l

formula is
l*h=x*y
l*12 =2160[given xy =2160]
l =2160/12
l =(2*6*180)/12
after cancellation
lcm =180