Question

If the product of two numbers is 540 and thier HCF is 30,find thier LCM

Answer 1

Answer :

LCM = 18

Step-by-step explanation :

 $\underline{\underline{\textbf{HCF (Highest Common Factor):}}}$

•        The HCF is the greatest factor present in between given two or more numbers i.e., the greatest number which can divide the given numbers.

•        HCF is also known as Greatest Common Divisor (GCD)

 $\underline{\underline{\textbf {LCM (Least Commom Multiple):}}}$

•        The LCM is the smallest number that is a multiple of two or more numbers.

____________________________

Given,

• the product of two numbers = 540

• their HCF = 30

• their LCM = ?

 

 $\boxed{\textbf{ Product of two numbers} = \bf HCF \times LCM}$

                  540 = 30 × LCM

                  LCM = 540/30

                  LCM = 18

∴ LCM of the two numbers = 18