Least Common Multiple of 5683/718, 4566/1392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5683/718, 4566/1392 quickly i.e. 12974289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5683/718, 4566/1392 is 12974289.

LCM(5683/718, 4566/1392) = 12974289

LCM of 5683/718, 4566/1392

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 5683/718,4566/1392

Given numbers are 5683/718,4566/1392

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 5683,4566

Least Common Multiple of Numerators i.e. LCM of 5683,4566 is 25948578.

GCF of Denominators means GCF of 718,1392 as per the given fractions.

GCF of 718,1392 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5683,4566

LCM of Fractions 5683/718,4566/1392 is 12974289

Given numbers has no common factors except 1. So, there LCM is their product i.e 25948578

Least Common Multiple of 5683,4566 with GCF Formula

Least Common Multiple of 5683,4566 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 5683,4566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5683,4566) = 1

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

GCF(5683,4566) x common factors =1 x 1 = 1

LCM(5683,4566) = ( 5683 × 4566 ) / 1

LCM(5683,4566) = 25948578 / 1

LCM(5683,4566) = 25948578


Lets's calculate GCF of 718,1392

2 718, 1392
359, 696

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25948578/2

Therefore the LCM of Fractions 5683/718,4566/1392 is 12974289

Greatest Common Factor of 718,1392 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,1392 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 1392

List of positive integer factors of 1392 that divides 1392 without a remainder.

1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392

Greatest Common Factor

We found the factors 718,1392 . The biggest common factor number is the GCF number.
So the greatest common factor 718,1392 is 2.


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 5683/718, 4566/1392

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 5683/718, 4566/1392?

Answer: LCM of Numerators as per given numbers 5683/718, 4566/1392 is

LCM of Numerators i.e. for 5683,4566 is 25948578

GCF of denominators i.e. for 718,1392 is 2.

Thus, LCM of Fractions is 12974289.Finally, LCM of Fractions for 5683/718, 4566/1392 is 12974289.