Ravi said, “HCF (a, b, c) · LCM (a, b, c) = a × b × c”. Do you

1.	Ravi said, “HCF (a, b, c) · LCM (a, b, c) = a × b × c”. Do you agree ? Justify.
Answer» wer. No, it is only true for two numbers. Answer Keys. First things first, we have to write numbers as a product. Let's define the THREE numbers rigorously. ASSUME they have HCF of k. Three numbers are $\mathrm{a=kx, b=ky, c=kz}$ , where $\mathrm{HCF(x,y,z)=1}$ . Then, $\mathrm{HCF(a,b,c)=k}$ $\mathrm{<klux>LCM</klux>(a,b,c)=kxyz}$ $\mathrm{abc=k^3xyz}$ $\therefore \boxed{\mathrm{HCF(a,b,c)\cdot LCM(a,b,c)=\dfrac{abc}{k} }}$ The EQUATION that Ravi said doesn't hold for k≠1. So, the equation that Ravi told is not true. More information. The product of HCF and LCM of two numbers is the product of two numbers.