Least Common Multiple of 6116/51, 5945/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6116/51, 5945/108 quickly i.e. 36359620/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6116/51, 5945/108 is 36359620/3.

LCM(6116/51, 5945/108) = 36359620/3

LCM of 6116/51, 5945/108

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 6116/51,5945/108

Given numbers are 6116/51,5945/108

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 6116,5945

Least Common Multiple of Numerators i.e. LCM of 6116,5945 is 36359620.

GCF of Denominators means GCF of 51,108 as per the given fractions.

GCF of 51,108 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6116,5945

LCM of Fractions 6116/51,5945/108 is 36359620/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 36359620

Least Common Multiple of 6116,5945 with GCF Formula

Least Common Multiple of 6116,5945 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 6116,5945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6116,5945) = 1

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

GCF(6116,5945) x common factors =1 x 1 = 1

LCM(6116,5945) = ( 6116 × 5945 ) / 1

LCM(6116,5945) = 36359620 / 1

LCM(6116,5945) = 36359620


Lets's calculate GCF of 51,108

3 51, 108
17, 36

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36359620/3

Therefore the LCM of Fractions 6116/51,5945/108 is 36359620/3

Greatest Common Factor of 51,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,108 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

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

Greatest Common Factor

We found the factors 51,108 . The biggest common factor number is the GCF number.
So the greatest common factor 51,108 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 6116/51, 5945/108

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 6116/51, 5945/108?

Answer: LCM of Numerators as per given numbers 6116/51, 5945/108 is

LCM of Numerators i.e. for 6116,5945 is 36359620

GCF of denominators i.e. for 51,108 is 3.

Thus, LCM of Fractions is 36359620/3.Finally, LCM of Fractions for 6116/51, 5945/108 is 36359620/3.