Least Common Multiple of 868/54, 260/6357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/54, 260/6357 quickly i.e. 56420/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/54, 260/6357 is 56420/3.

LCM(868/54, 260/6357) = 56420/3

LCM of 868/54, 260/6357

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 868/54,260/6357

Given numbers are 868/54,260/6357

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 868,260

Least Common Multiple of Numerators i.e. LCM of 868,260 is 56420.

GCF of Denominators means GCF of 54,6357 as per the given fractions.

GCF of 54,6357 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,260

LCM of Fractions 868/54,260/6357 is 56420/3

2 868, 260
2 434, 130
217, 65

∴ So the LCM of the given numbers is 2 x 2 x 217 x 65 = 56420

Least Common Multiple of 868,260 with GCF Formula

Least Common Multiple of 868,260 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 868,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,260) = 4

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

GCF(868,260) x common factors =4 x 1 = 4

LCM(868,260) = ( 868 × 260 ) / 4

LCM(868,260) = 225680 / 4

LCM(868,260) = 56420


Lets's calculate GCF of 54,6357

3 54, 6357
18, 2119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56420/3

Therefore the LCM of Fractions 868/54,260/6357 is 56420/3

Greatest Common Factor of 54,6357 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,6357 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 6357

List of positive integer factors of 6357 that divides 6357 without a remainder.

1,3,13,39,163,489,2119,6357

Greatest Common Factor

We found the factors 54,6357 . The biggest common factor number is the GCF number.
So the greatest common factor 54,6357 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 868/54, 260/6357

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 868/54, 260/6357?

Answer: LCM of Numerators as per given numbers 868/54, 260/6357 is

LCM of Numerators i.e. for 868,260 is 56420

GCF of denominators i.e. for 54,6357 is 3.

Thus, LCM of Fractions is 56420/3.Finally, LCM of Fractions for 868/54, 260/6357 is 56420/3.