Least Common Multiple of 831/435, 9820/6867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 831/435, 9820/6867 quickly i.e. 2720140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/435, 9820/6867 is 2720140.

LCM(831/435, 9820/6867) = 2720140

LCM of 831/435, 9820/6867

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 831/435,9820/6867

Given numbers are 831/435,9820/6867

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 831,9820

Least Common Multiple of Numerators i.e. LCM of 831,9820 is 8160420.

GCF of Denominators means GCF of 435,6867 as per the given fractions.

GCF of 435,6867 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,9820

LCM of Fractions 831/435,9820/6867 is 2720140

Given numbers has no common factors except 1. So, there LCM is their product i.e 8160420

Least Common Multiple of 831,9820 with GCF Formula

Least Common Multiple of 831,9820 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 831,9820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,9820) = 1

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

GCF(831,9820) x common factors =1 x 1 = 1

LCM(831,9820) = ( 831 × 9820 ) / 1

LCM(831,9820) = 8160420 / 1

LCM(831,9820) = 8160420


Lets's calculate GCF of 435,6867

3 435, 6867
145, 2289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8160420/3

Therefore the LCM of Fractions 831/435,9820/6867 is 2720140

Greatest Common Factor of 435,6867 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,6867 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 6867

List of positive integer factors of 6867 that divides 6867 without a remainder.

1,3,7,9,21,63,109,327,763,981,2289,6867

Greatest Common Factor

We found the factors 435,6867 . The biggest common factor number is the GCF number.
So the greatest common factor 435,6867 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 831/435, 9820/6867

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 831/435, 9820/6867?

Answer: LCM of Numerators as per given numbers 831/435, 9820/6867 is

LCM of Numerators i.e. for 831,9820 is 8160420

GCF of denominators i.e. for 435,6867 is 3.

Thus, LCM of Fractions is 2720140.Finally, LCM of Fractions for 831/435, 9820/6867 is 2720140.