Least Common Multiple of 31/781, 2678/6820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/781, 2678/6820 quickly i.e. 83018/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/781, 2678/6820 is 83018/11.

LCM(31/781, 2678/6820) = 83018/11

LCM of 31/781, 2678/6820

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 31/781,2678/6820

Given numbers are 31/781,2678/6820

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 31,2678

Least Common Multiple of Numerators i.e. LCM of 31,2678 is 83018.

GCF of Denominators means GCF of 781,6820 as per the given fractions.

GCF of 781,6820 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,2678

LCM of Fractions 31/781,2678/6820 is 83018/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 83018

Least Common Multiple of 31,2678 with GCF Formula

Least Common Multiple of 31,2678 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 31,2678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,2678) = 1

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

GCF(31,2678) x common factors =1 x 1 = 1

LCM(31,2678) = ( 31 × 2678 ) / 1

LCM(31,2678) = 83018 / 1

LCM(31,2678) = 83018


Lets's calculate GCF of 781,6820

11 781, 6820
71, 620

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83018/11

Therefore the LCM of Fractions 31/781,2678/6820 is 83018/11

Greatest Common Factor of 781,6820 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,6820 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 6820

List of positive integer factors of 6820 that divides 6820 without a remainder.

1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820

Greatest Common Factor

We found the factors 781,6820 . The biggest common factor number is the GCF number.
So the greatest common factor 781,6820 is 11.


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 31/781, 2678/6820

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 31/781, 2678/6820?

Answer: LCM of Numerators as per given numbers 31/781, 2678/6820 is

LCM of Numerators i.e. for 31,2678 is 83018

GCF of denominators i.e. for 781,6820 is 11.

Thus, LCM of Fractions is 83018/11.Finally, LCM of Fractions for 31/781, 2678/6820 is 83018/11.