Least Common Multiple of 6996/540, 8269/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6996/540, 8269/664 quickly i.e. 14462481 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6996/540, 8269/664 is 14462481.

LCM(6996/540, 8269/664) = 14462481

LCM of 6996/540, 8269/664

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 6996/540,8269/664

Given numbers are 6996/540,8269/664

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 6996,8269

Least Common Multiple of Numerators i.e. LCM of 6996,8269 is 57849924.

GCF of Denominators means GCF of 540,664 as per the given fractions.

GCF of 540,664 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6996,8269

LCM of Fractions 6996/540,8269/664 is 14462481

Given numbers has no common factors except 1. So, there LCM is their product i.e 57849924

Least Common Multiple of 6996,8269 with GCF Formula

Least Common Multiple of 6996,8269 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 6996,8269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6996,8269) = 1

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

GCF(6996,8269) x common factors =1 x 1 = 1

LCM(6996,8269) = ( 6996 × 8269 ) / 1

LCM(6996,8269) = 57849924 / 1

LCM(6996,8269) = 57849924


Lets's calculate GCF of 540,664

2 540, 664
2 270, 332
135, 166

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57849924/4

Therefore the LCM of Fractions 6996/540,8269/664 is 14462481

Greatest Common Factor of 540,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,664 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 540,664 . The biggest common factor number is the GCF number.
So the greatest common factor 540,664 is 4.


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 6996/540, 8269/664

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 6996/540, 8269/664?

Answer: LCM of Numerators as per given numbers 6996/540, 8269/664 is

LCM of Numerators i.e. for 6996,8269 is 57849924

GCF of denominators i.e. for 540,664 is 4.

Thus, LCM of Fractions is 14462481.Finally, LCM of Fractions for 6996/540, 8269/664 is 14462481.