Least Common Multiple of 6723/621, 9911/8493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6723/621, 9911/8493 quickly i.e. 22210551 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6723/621, 9911/8493 is 22210551.

LCM(6723/621, 9911/8493) = 22210551

LCM of 6723/621, 9911/8493

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 6723/621,9911/8493

Given numbers are 6723/621,9911/8493

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 6723,9911

Least Common Multiple of Numerators i.e. LCM of 6723,9911 is 66631653.

GCF of Denominators means GCF of 621,8493 as per the given fractions.

GCF of 621,8493 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6723,9911

LCM of Fractions 6723/621,9911/8493 is 22210551

Given numbers has no common factors except 1. So, there LCM is their product i.e 66631653

Least Common Multiple of 6723,9911 with GCF Formula

Least Common Multiple of 6723,9911 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 6723,9911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6723,9911) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(6723,9911) x common factors =1 x 1 = 1

LCM(6723,9911) = ( 6723 × 9911 ) / 1

LCM(6723,9911) = 66631653 / 1

LCM(6723,9911) = 66631653


Lets's calculate GCF of 621,8493

3 621, 8493
207, 2831

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66631653/3

Therefore the LCM of Fractions 6723/621,9911/8493 is 22210551

Greatest Common Factor of 621,8493 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,8493 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 8493

List of positive integer factors of 8493 that divides 8493 without a remainder.

1,3,19,57,149,447,2831,8493

Greatest Common Factor

We found the factors 621,8493 . The biggest common factor number is the GCF number.
So the greatest common factor 621,8493 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6723/621, 9911/8493

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 6723/621, 9911/8493?

Answer: LCM of Numerators as per given numbers 6723/621, 9911/8493 is

LCM of Numerators i.e. for 6723,9911 is 66631653

GCF of denominators i.e. for 621,8493 is 3.

Thus, LCM of Fractions is 22210551.Finally, LCM of Fractions for 6723/621, 9911/8493 is 22210551.