Least Common Multiple of 5739/290, 4601/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5739/290, 4601/564 quickly i.e. 26405139/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5739/290, 4601/564 is 26405139/2.

LCM(5739/290, 4601/564) = 26405139/2

LCM of 5739/290, 4601/564

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 5739/290,4601/564

Given numbers are 5739/290,4601/564

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 5739,4601

Least Common Multiple of Numerators i.e. LCM of 5739,4601 is 26405139.

GCF of Denominators means GCF of 290,564 as per the given fractions.

GCF of 290,564 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5739,4601

LCM of Fractions 5739/290,4601/564 is 26405139/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 26405139

Least Common Multiple of 5739,4601 with GCF Formula

Least Common Multiple of 5739,4601 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 5739,4601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5739,4601) = 1

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

GCF(5739,4601) x common factors =1 x 1 = 1

LCM(5739,4601) = ( 5739 × 4601 ) / 1

LCM(5739,4601) = 26405139 / 1

LCM(5739,4601) = 26405139


Lets's calculate GCF of 290,564

2 290, 564
145, 282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26405139/2

Therefore the LCM of Fractions 5739/290,4601/564 is 26405139/2

Greatest Common Factor of 290,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,564 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 290,564 . The biggest common factor number is the GCF number.
So the greatest common factor 290,564 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 5739/290, 4601/564

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 5739/290, 4601/564?

Answer: LCM of Numerators as per given numbers 5739/290, 4601/564 is

LCM of Numerators i.e. for 5739,4601 is 26405139

GCF of denominators i.e. for 290,564 is 2.

Thus, LCM of Fractions is 26405139/2.Finally, LCM of Fractions for 5739/290, 4601/564 is 26405139/2.