Least Common Multiple of 2139/143, 2484/5749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2139/143, 2484/5749 quickly i.e. 77004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2139/143, 2484/5749 is 77004.

LCM(2139/143, 2484/5749) = 77004

LCM of 2139/143, 2484/5749

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 2139/143,2484/5749

Given numbers are 2139/143,2484/5749

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 2139,2484

Least Common Multiple of Numerators i.e. LCM of 2139,2484 is 77004.

GCF of Denominators means GCF of 143,5749 as per the given fractions.

GCF of 143,5749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2139,2484

LCM of Fractions 2139/143,2484/5749 is 77004

3 2139, 2484
23 713, 828
31, 36

∴ So the LCM of the given numbers is 3 x 23 x 31 x 36 = 77004

Least Common Multiple of 2139,2484 with GCF Formula

Least Common Multiple of 2139,2484 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 2139,2484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2139,2484) = 69

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

GCF(2139,2484) x common factors =69 x 1 = 69

LCM(2139,2484) = ( 2139 × 2484 ) / 69

LCM(2139,2484) = 5313276 / 69

LCM(2139,2484) = 77004


Lets's calculate GCF of 143,5749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77004/1

Therefore the LCM of Fractions 2139/143,2484/5749 is 77004

Greatest Common Factor of 143,5749 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,5749 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 5749

List of positive integer factors of 5749 that divides 5749 without a remainder.

1,5749

Greatest Common Factor

We found the factors 143,5749 . The biggest common factor number is the GCF number.
So the greatest common factor 143,5749 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 2139/143, 2484/5749

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 2139/143, 2484/5749?

Answer: LCM of Numerators as per given numbers 2139/143, 2484/5749 is

LCM of Numerators i.e. for 2139,2484 is 77004

GCF of denominators i.e. for 143,5749 is 1.

Thus, LCM of Fractions is 77004.Finally, LCM of Fractions for 2139/143, 2484/5749 is 77004.