Question

if the product o two numbers is 3024 if their GCD is 6 find their LCM

Answer 1

Given:

• Product of 2 numbers = 3024
• GCD = 6

To find:

• LCM = ?

Method:

Use the below formula;

$\large \bf{HCF \times LCM = Product \: of \: 2 \: numbers}$

$\Rightarrow \sf{6 \times LCM = 3024}\\\\\\\Rightarrow \sf{LCM = \dfrac{3024}{6}}\\\\\\\therefore \boxed{\rm{LCM=504}}$

Know more:

• GCD(Greatest Common Denominator) or HCF(Highest Common Factor) is largest positive integer that divide the numbers without living a remainder
• LCM or Least Common Denominator is the smallest integer that is divisible by 2 or more numbers.
• Note: The above formula is applicable only for the product of 2 numbers and not 3 numbers.