Least Common Multiple of 6811/260, 8500/4654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6811/260, 8500/4654 quickly i.e. 57893500/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6811/260, 8500/4654 is 57893500/26.

LCM(6811/260, 8500/4654) = 57893500/26

LCM of 6811/260, 8500/4654

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 6811/260,8500/4654

Given numbers are 6811/260,8500/4654

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 6811,8500

Least Common Multiple of Numerators i.e. LCM of 6811,8500 is 57893500.

GCF of Denominators means GCF of 260,4654 as per the given fractions.

GCF of 260,4654 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6811,8500

LCM of Fractions 6811/260,8500/4654 is 57893500/26

Given numbers has no common factors except 1. So, there LCM is their product i.e 57893500

Least Common Multiple of 6811,8500 with GCF Formula

Least Common Multiple of 6811,8500 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 6811,8500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6811,8500) = 1

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

GCF(6811,8500) x common factors =1 x 1 = 1

LCM(6811,8500) = ( 6811 × 8500 ) / 1

LCM(6811,8500) = 57893500 / 1

LCM(6811,8500) = 57893500


Lets's calculate GCF of 260,4654

2 260, 4654
13 130, 2327
10, 179

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57893500/26

Therefore the LCM of Fractions 6811/260,8500/4654 is 57893500/26

Greatest Common Factor of 260,4654 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,4654 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 4654

List of positive integer factors of 4654 that divides 4654 without a remainder.

1,2,13,26,179,358,2327,4654

Greatest Common Factor

We found the factors 260,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 260,4654 is 26.


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 6811/260, 8500/4654

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 6811/260, 8500/4654?

Answer: LCM of Numerators as per given numbers 6811/260, 8500/4654 is

LCM of Numerators i.e. for 6811,8500 is 57893500

GCF of denominators i.e. for 260,4654 is 26.

Thus, LCM of Fractions is 57893500/26.Finally, LCM of Fractions for 6811/260, 8500/4654 is 57893500/26.