Question

1. If ab=180 and HCF(a, b) =3, then find the LCM(a, b)

Answer 1

Answer :

LCM (a , b) = 60

Step-by-step explanation :

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

• 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)

$\underline{\underline{\bf LCM(Least \ Common \ Multiple):}}$

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

_____________________________

Given,

• a and b are two numbers
• HCF = 3
• Product of two numbers, ab = 180

To find,

• LCM of the two numbers

we know,

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

              180 = 3 × LCM

              LCM = 180/3

              LCM = 60

∴ LCM (a , b) = 60