Least Common Multiple of 2478/108, 4859/6777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2478/108, 4859/6777 quickly i.e. 12040602/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2478/108, 4859/6777 is 12040602/27.

LCM(2478/108, 4859/6777) = 12040602/27

LCM of 2478/108, 4859/6777

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 2478/108,4859/6777

Given numbers are 2478/108,4859/6777

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 2478,4859

Least Common Multiple of Numerators i.e. LCM of 2478,4859 is 12040602.

GCF of Denominators means GCF of 108,6777 as per the given fractions.

GCF of 108,6777 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2478,4859

LCM of Fractions 2478/108,4859/6777 is 12040602/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 12040602

Least Common Multiple of 2478,4859 with GCF Formula

Least Common Multiple of 2478,4859 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 2478,4859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2478,4859) = 1

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

GCF(2478,4859) x common factors =1 x 1 = 1

LCM(2478,4859) = ( 2478 × 4859 ) / 1

LCM(2478,4859) = 12040602 / 1

LCM(2478,4859) = 12040602


Lets's calculate GCF of 108,6777

3 108, 6777
3 36, 2259
3 12, 753
4, 251

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12040602/27

Therefore the LCM of Fractions 2478/108,4859/6777 is 12040602/27

Greatest Common Factor of 108,6777 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,6777 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 6777

List of positive integer factors of 6777 that divides 6777 without a remainder.

1,3,9,27,251,753,2259,6777

Greatest Common Factor

We found the factors 108,6777 . The biggest common factor number is the GCF number.
So the greatest common factor 108,6777 is 27.


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 2478/108, 4859/6777

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 2478/108, 4859/6777?

Answer: LCM of Numerators as per given numbers 2478/108, 4859/6777 is

LCM of Numerators i.e. for 2478,4859 is 12040602

GCF of denominators i.e. for 108,6777 is 27.

Thus, LCM of Fractions is 12040602/27.Finally, LCM of Fractions for 2478/108, 4859/6777 is 12040602/27.