Least Common Multiple of 20/588, 799/289, 572/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/588, 799/289, 572/867 quickly i.e. 2285140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/588, 799/289, 572/867 is 2285140.

LCM(20/588, 799/289, 572/867) = 2285140

LCM of 20/588, 799/289, 572/867

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 20/588,799/289,572/867

Given numbers are 20/588,799/289,572/867

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 20,799,572

Least Common Multiple of Numerators i.e. LCM of 20,799,572 is 2285140.

GCF of Denominators means GCF of 588,289,867 as per the given fractions.

GCF of 588,289,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,799,572

LCM of Fractions 20/588,799/289,572/867 is 2285140

2 20, 799, 572
2 10, 799, 286
5, 799, 143

∴ So the LCM of the given numbers is 2 x 2 x 5 x 799 x 143 = 2285140

Least Common Multiple of 20,799,572 with GCF Formula

Least Common Multiple of 20,799,572 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 20,799,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,799,572) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(20,799,572) x common factors =1 x 4 = 4

LCM(20,799,572) = ( 20 × 799 × 572 ) / 4

LCM(20,799,572) = 9140560 / 4

LCM(20,799,572) = 2285140


Lets's calculate GCF of 588,289,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2285140/1

Therefore the LCM of Fractions 20/588,799/289,572/867 is 2285140

Greatest Common Factor of 588,289,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,289,867 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 588,289,867 . The biggest common factor number is the GCF number.
So the greatest common factor 588,289,867 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 20/588, 799/289, 572/867

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 20/588, 799/289, 572/867?

Answer: LCM of Numerators as per given numbers 20/588, 799/289, 572/867 is

LCM of Numerators i.e. for 20,799,572 is 2285140

GCF of denominators i.e. for 588,289,867 is 1.

Thus, LCM of Fractions is 2285140.Finally, LCM of Fractions for 20/588, 799/289, 572/867 is 2285140.