Least Common Multiple of 6981/836, 1383/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6981/836, 1383/818 quickly i.e. 3218241/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6981/836, 1383/818 is 3218241/2.

LCM(6981/836, 1383/818) = 3218241/2

LCM of 6981/836, 1383/818

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 6981/836,1383/818

Given numbers are 6981/836,1383/818

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 6981,1383

Least Common Multiple of Numerators i.e. LCM of 6981,1383 is 3218241.

GCF of Denominators means GCF of 836,818 as per the given fractions.

GCF of 836,818 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6981,1383

LCM of Fractions 6981/836,1383/818 is 3218241/2

3 6981, 1383
2327, 461

∴ So the LCM of the given numbers is 3 x 2327 x 461 = 3218241

Least Common Multiple of 6981,1383 with GCF Formula

Least Common Multiple of 6981,1383 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 6981,1383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6981,1383) = 3

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

GCF(6981,1383) x common factors =3 x 1 = 3

LCM(6981,1383) = ( 6981 × 1383 ) / 3

LCM(6981,1383) = 9654723 / 3

LCM(6981,1383) = 3218241


Lets's calculate GCF of 836,818

2 836, 818
418, 409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3218241/2

Therefore the LCM of Fractions 6981/836,1383/818 is 3218241/2

Greatest Common Factor of 836,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,818 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 836,818 . The biggest common factor number is the GCF number.
So the greatest common factor 836,818 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6981/836, 1383/818

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 6981/836, 1383/818?

Answer: LCM of Numerators as per given numbers 6981/836, 1383/818 is

LCM of Numerators i.e. for 6981,1383 is 3218241

GCF of denominators i.e. for 836,818 is 2.

Thus, LCM of Fractions is 3218241/2.Finally, LCM of Fractions for 6981/836, 1383/818 is 3218241/2.