Least Common Multiple of 6116/503, 7428/6308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6116/503, 7428/6308 quickly i.e. 11357412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6116/503, 7428/6308 is 11357412.

LCM(6116/503, 7428/6308) = 11357412

LCM of 6116/503, 7428/6308

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 6116/503,7428/6308

Given numbers are 6116/503,7428/6308

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 6116,7428

Least Common Multiple of Numerators i.e. LCM of 6116,7428 is 11357412.

GCF of Denominators means GCF of 503,6308 as per the given fractions.

GCF of 503,6308 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6116,7428

LCM of Fractions 6116/503,7428/6308 is 11357412

2 6116, 7428
2 3058, 3714
1529, 1857

∴ So the LCM of the given numbers is 2 x 2 x 1529 x 1857 = 11357412

Least Common Multiple of 6116,7428 with GCF Formula

Least Common Multiple of 6116,7428 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 6116,7428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6116,7428) = 4

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

GCF(6116,7428) x common factors =4 x 1 = 4

LCM(6116,7428) = ( 6116 × 7428 ) / 4

LCM(6116,7428) = 45429648 / 4

LCM(6116,7428) = 11357412


Lets's calculate GCF of 503,6308

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11357412/1

Therefore the LCM of Fractions 6116/503,7428/6308 is 11357412

Greatest Common Factor of 503,6308 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,6308 By Matching Biggest Common Factor Method

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 6308

List of positive integer factors of 6308 that divides 6308 without a remainder.

1,2,4,19,38,76,83,166,332,1577,3154,6308

Greatest Common Factor

We found the factors 503,6308 . The biggest common factor number is the GCF number.
So the greatest common factor 503,6308 is 1.


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 6116/503, 7428/6308

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 6116/503, 7428/6308?

Answer: LCM of Numerators as per given numbers 6116/503, 7428/6308 is

LCM of Numerators i.e. for 6116,7428 is 11357412

GCF of denominators i.e. for 503,6308 is 1.

Thus, LCM of Fractions is 11357412.Finally, LCM of Fractions for 6116/503, 7428/6308 is 11357412.