Least Common Multiple of 204/540, 289/722, 584/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 204/540, 289/722, 584/829 quickly i.e. 506328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 204/540, 289/722, 584/829 is 506328.

LCM(204/540, 289/722, 584/829) = 506328

LCM of 204/540, 289/722, 584/829

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 204/540,289/722,584/829

Given numbers are 204/540,289/722,584/829

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 204,289,584

Least Common Multiple of Numerators i.e. LCM of 204,289,584 is 506328.

GCF of Denominators means GCF of 540,722,829 as per the given fractions.

GCF of 540,722,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 204,289,584

LCM of Fractions 204/540,289/722,584/829 is 506328

2 204, 289, 584
2 102, 289, 292
17 51, 289, 146
3, 17, 146

∴ So the LCM of the given numbers is 2 x 2 x 17 x 3 x 17 x 146 = 506328

Least Common Multiple of 204,289,584 with GCF Formula

Least Common Multiple of 204,289,584 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 204,289,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,289,584) = 1

common factors(in case of two or more numbers have common factors) = 68

GCF(204,289,584) x common factors =1 x 68 = 68

LCM(204,289,584) = ( 204 × 289 × 584 ) / 68

LCM(204,289,584) = 34430304 / 68

LCM(204,289,584) = 506328


Lets's calculate GCF of 540,722,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 506328/1

Therefore the LCM of Fractions 204/540,289/722,584/829 is 506328

Greatest Common Factor of 540,722,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,722,829 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 540,722,829 . The biggest common factor number is the GCF number.
So the greatest common factor 540,722,829 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 204/540, 289/722, 584/829

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 204/540, 289/722, 584/829?

Answer: LCM of Numerators as per given numbers 204/540, 289/722, 584/829 is

LCM of Numerators i.e. for 204,289,584 is 506328

GCF of denominators i.e. for 540,722,829 is 1.

Thus, LCM of Fractions is 506328.Finally, LCM of Fractions for 204/540, 289/722, 584/829 is 506328.