Least Common Multiple of 6384/114, 8909/1146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6384/114, 8909/1146 quickly i.e. 9479176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6384/114, 8909/1146 is 9479176.

LCM(6384/114, 8909/1146) = 9479176

LCM of 6384/114, 8909/1146

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 6384/114,8909/1146

Given numbers are 6384/114,8909/1146

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 6384,8909

Least Common Multiple of Numerators i.e. LCM of 6384,8909 is 56875056.

GCF of Denominators means GCF of 114,1146 as per the given fractions.

GCF of 114,1146 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6384,8909

LCM of Fractions 6384/114,8909/1146 is 9479176

Given numbers has no common factors except 1. So, there LCM is their product i.e 56875056

Least Common Multiple of 6384,8909 with GCF Formula

Least Common Multiple of 6384,8909 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 6384,8909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6384,8909) = 1

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

GCF(6384,8909) x common factors =1 x 1 = 1

LCM(6384,8909) = ( 6384 × 8909 ) / 1

LCM(6384,8909) = 56875056 / 1

LCM(6384,8909) = 56875056


Lets's calculate GCF of 114,1146

2 114, 1146
3 57, 573
19, 191

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56875056/6

Therefore the LCM of Fractions 6384/114,8909/1146 is 9479176

Greatest Common Factor of 114,1146 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,1146 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 1146

List of positive integer factors of 1146 that divides 1146 without a remainder.

1,2,3,6,191,382,573,1146

Greatest Common Factor

We found the factors 114,1146 . The biggest common factor number is the GCF number.
So the greatest common factor 114,1146 is 6.


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 6384/114, 8909/1146

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 6384/114, 8909/1146?

Answer: LCM of Numerators as per given numbers 6384/114, 8909/1146 is

LCM of Numerators i.e. for 6384,8909 is 56875056

GCF of denominators i.e. for 114,1146 is 6.

Thus, LCM of Fractions is 9479176.Finally, LCM of Fractions for 6384/114, 8909/1146 is 9479176.