Least Common Multiple of 6873/315, 8638/5192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6873/315, 8638/5192 quickly i.e. 59368974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6873/315, 8638/5192 is 59368974.

LCM(6873/315, 8638/5192) = 59368974

LCM of 6873/315, 8638/5192

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 6873/315,8638/5192

Given numbers are 6873/315,8638/5192

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 6873,8638

Least Common Multiple of Numerators i.e. LCM of 6873,8638 is 59368974.

GCF of Denominators means GCF of 315,5192 as per the given fractions.

GCF of 315,5192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6873,8638

LCM of Fractions 6873/315,8638/5192 is 59368974

Given numbers has no common factors except 1. So, there LCM is their product i.e 59368974

Least Common Multiple of 6873,8638 with GCF Formula

Least Common Multiple of 6873,8638 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 6873,8638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6873,8638) = 1

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

GCF(6873,8638) x common factors =1 x 1 = 1

LCM(6873,8638) = ( 6873 × 8638 ) / 1

LCM(6873,8638) = 59368974 / 1

LCM(6873,8638) = 59368974


Lets's calculate GCF of 315,5192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59368974/1

Therefore the LCM of Fractions 6873/315,8638/5192 is 59368974

Greatest Common Factor of 315,5192 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,5192 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 5192

List of positive integer factors of 5192 that divides 5192 without a remainder.

1,2,4,8,11,22,44,59,88,118,236,472,649,1298,2596,5192

Greatest Common Factor

We found the factors 315,5192 . The biggest common factor number is the GCF number.
So the greatest common factor 315,5192 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 6873/315, 8638/5192

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 6873/315, 8638/5192?

Answer: LCM of Numerators as per given numbers 6873/315, 8638/5192 is

LCM of Numerators i.e. for 6873,8638 is 59368974

GCF of denominators i.e. for 315,5192 is 1.

Thus, LCM of Fractions is 59368974.Finally, LCM of Fractions for 6873/315, 8638/5192 is 59368974.