Least Common Multiple of 21/580, 979/854, 584/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/580, 979/854, 584/573 quickly i.e. 12006456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/580, 979/854, 584/573 is 12006456.

LCM(21/580, 979/854, 584/573) = 12006456

LCM of 21/580, 979/854, 584/573

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 21/580,979/854,584/573

Given numbers are 21/580,979/854,584/573

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 21,979,584

Least Common Multiple of Numerators i.e. LCM of 21,979,584 is 12006456.

GCF of Denominators means GCF of 580,854,573 as per the given fractions.

GCF of 580,854,573 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,979,584

LCM of Fractions 21/580,979/854,584/573 is 12006456

Given numbers has no common factors except 1. So, there LCM is their product i.e 12006456

Least Common Multiple of 21,979,584 with GCF Formula

Least Common Multiple of 21,979,584 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 21,979,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,979,584) = 1

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

GCF(21,979,584) x common factors =1 x 1 = 1

LCM(21,979,584) = ( 21 × 979 × 584 ) / 1

LCM(21,979,584) = 12006456 / 1

LCM(21,979,584) = 12006456


Lets's calculate GCF of 580,854,573

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12006456/1

Therefore the LCM of Fractions 21/580,979/854,584/573 is 12006456

Greatest Common Factor of 580,854,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,854,573 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 580,854,573 . The biggest common factor number is the GCF number.
So the greatest common factor 580,854,573 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 21/580, 979/854, 584/573

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 21/580, 979/854, 584/573?

Answer: LCM of Numerators as per given numbers 21/580, 979/854, 584/573 is

LCM of Numerators i.e. for 21,979,584 is 12006456

GCF of denominators i.e. for 580,854,573 is 1.

Thus, LCM of Fractions is 12006456.Finally, LCM of Fractions for 21/580, 979/854, 584/573 is 12006456.