Least Common Multiple of 824/406, 6786/5340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/406, 6786/5340 quickly i.e. 1397916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/406, 6786/5340 is 1397916.

LCM(824/406, 6786/5340) = 1397916

LCM of 824/406, 6786/5340

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 824/406,6786/5340

Given numbers are 824/406,6786/5340

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 824,6786

Least Common Multiple of Numerators i.e. LCM of 824,6786 is 2795832.

GCF of Denominators means GCF of 406,5340 as per the given fractions.

GCF of 406,5340 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,6786

LCM of Fractions 824/406,6786/5340 is 1397916

2 824, 6786
412, 3393

∴ So the LCM of the given numbers is 2 x 412 x 3393 = 2795832

Least Common Multiple of 824,6786 with GCF Formula

Least Common Multiple of 824,6786 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 824,6786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,6786) = 2

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

GCF(824,6786) x common factors =2 x 1 = 2

LCM(824,6786) = ( 824 × 6786 ) / 2

LCM(824,6786) = 5591664 / 2

LCM(824,6786) = 2795832


Lets's calculate GCF of 406,5340

2 406, 5340
203, 2670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2795832/2

Therefore the LCM of Fractions 824/406,6786/5340 is 1397916

Greatest Common Factor of 406,5340 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,5340 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 5340

List of positive integer factors of 5340 that divides 5340 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340

Greatest Common Factor

We found the factors 406,5340 . The biggest common factor number is the GCF number.
So the greatest common factor 406,5340 is 2.


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 824/406, 6786/5340

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 824/406, 6786/5340?

Answer: LCM of Numerators as per given numbers 824/406, 6786/5340 is

LCM of Numerators i.e. for 824,6786 is 2795832

GCF of denominators i.e. for 406,5340 is 2.

Thus, LCM of Fractions is 1397916.Finally, LCM of Fractions for 824/406, 6786/5340 is 1397916.