Least Common Multiple of 4353/13, 4389/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4353/13, 4389/687 quickly i.e. 6368439 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4353/13, 4389/687 is 6368439.

LCM(4353/13, 4389/687) = 6368439

LCM of 4353/13, 4389/687

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 4353/13,4389/687

Given numbers are 4353/13,4389/687

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 4353,4389

Least Common Multiple of Numerators i.e. LCM of 4353,4389 is 6368439.

GCF of Denominators means GCF of 13,687 as per the given fractions.

GCF of 13,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4353,4389

LCM of Fractions 4353/13,4389/687 is 6368439

3 4353, 4389
1451, 1463

∴ So the LCM of the given numbers is 3 x 1451 x 1463 = 6368439

Least Common Multiple of 4353,4389 with GCF Formula

Least Common Multiple of 4353,4389 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 4353,4389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4353,4389) = 3

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

GCF(4353,4389) x common factors =3 x 1 = 3

LCM(4353,4389) = ( 4353 × 4389 ) / 3

LCM(4353,4389) = 19105317 / 3

LCM(4353,4389) = 6368439


Lets's calculate GCF of 13,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6368439/1

Therefore the LCM of Fractions 4353/13,4389/687 is 6368439

Greatest Common Factor of 13,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,687 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 13,687 . The biggest common factor number is the GCF number.
So the greatest common factor 13,687 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 4353/13, 4389/687

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 4353/13, 4389/687?

Answer: LCM of Numerators as per given numbers 4353/13, 4389/687 is

LCM of Numerators i.e. for 4353,4389 is 6368439

GCF of denominators i.e. for 13,687 is 1.

Thus, LCM of Fractions is 6368439.Finally, LCM of Fractions for 4353/13, 4389/687 is 6368439.