Question

If HCF (a-b)=12 and a×b=1800then FindLCM (a,b)

Answer 1

Given that ,

HCF of a and b = 12

The product of a and b = 1800

As we know that , the relationship between HCF and LCM of two numbers x and y is given by

$\star \sf \: \: HCF (x,y)= \frac{x \: \times \: y}{LCM(x,y)}$

Substitute the known values , we get

$\sf \Rightarrow 12 = \frac{1800}{LCM(a,b)} \\ \\ \sf \Rightarrow </p><p>LCM(a,b) = \frac{1800}{12} </p><p> \\ \\\sf \Rightarrow LCM(a,b) = 150</p><p>$

$\therefore \sf \bold{ \underline{The \: LCM \: of \: a \: and \: b \: is \: 150}}$