Least Common Multiple of 2127/689, 5343/2324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2127/689, 5343/2324 quickly i.e. 3788187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2127/689, 5343/2324 is 3788187.

LCM(2127/689, 5343/2324) = 3788187

LCM of 2127/689, 5343/2324

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 2127/689,5343/2324

Given numbers are 2127/689,5343/2324

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 2127,5343

Least Common Multiple of Numerators i.e. LCM of 2127,5343 is 3788187.

GCF of Denominators means GCF of 689,2324 as per the given fractions.

GCF of 689,2324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2127,5343

LCM of Fractions 2127/689,5343/2324 is 3788187

3 2127, 5343
709, 1781

∴ So the LCM of the given numbers is 3 x 709 x 1781 = 3788187

Least Common Multiple of 2127,5343 with GCF Formula

Least Common Multiple of 2127,5343 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 2127,5343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2127,5343) = 3

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

GCF(2127,5343) x common factors =3 x 1 = 3

LCM(2127,5343) = ( 2127 × 5343 ) / 3

LCM(2127,5343) = 11364561 / 3

LCM(2127,5343) = 3788187


Lets's calculate GCF of 689,2324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3788187/1

Therefore the LCM of Fractions 2127/689,5343/2324 is 3788187

Greatest Common Factor of 689,2324 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,2324 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 2324

List of positive integer factors of 2324 that divides 2324 without a remainder.

1,2,4,7,14,28,83,166,332,581,1162,2324

Greatest Common Factor

We found the factors 689,2324 . The biggest common factor number is the GCF number.
So the greatest common factor 689,2324 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 2127/689, 5343/2324

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 2127/689, 5343/2324?

Answer: LCM of Numerators as per given numbers 2127/689, 5343/2324 is

LCM of Numerators i.e. for 2127,5343 is 3788187

GCF of denominators i.e. for 689,2324 is 1.

Thus, LCM of Fractions is 3788187.Finally, LCM of Fractions for 2127/689, 5343/2324 is 3788187.