Least Common Multiple of 584/135, 546/188, 580/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/135, 546/188, 580/898 quickly i.e. 23117640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/135, 546/188, 580/898 is 23117640.

LCM(584/135, 546/188, 580/898) = 23117640

LCM of 584/135, 546/188, 580/898

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 584/135,546/188,580/898

Given numbers are 584/135,546/188,580/898

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 584,546,580

Least Common Multiple of Numerators i.e. LCM of 584,546,580 is 23117640.

GCF of Denominators means GCF of 135,188,898 as per the given fractions.

GCF of 135,188,898 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,546,580

LCM of Fractions 584/135,546/188,580/898 is 23117640

2 584, 546, 580
2 292, 273, 290
146, 273, 145

∴ So the LCM of the given numbers is 2 x 2 x 146 x 273 x 145 = 23117640

Least Common Multiple of 584,546,580 with GCF Formula

Least Common Multiple of 584,546,580 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 584,546,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,546,580) = 2

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

GCF(584,546,580) x common factors =2 x 4 = 8

LCM(584,546,580) = ( 584 × 546 × 580 ) / 8

LCM(584,546,580) = 184941120 / 8

LCM(584,546,580) = 23117640


Lets's calculate GCF of 135,188,898

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23117640/1

Therefore the LCM of Fractions 584/135,546/188,580/898 is 23117640

Greatest Common Factor of 135,188,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,188,898 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 135,188,898 . The biggest common factor number is the GCF number.
So the greatest common factor 135,188,898 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 584/135, 546/188, 580/898

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 584/135, 546/188, 580/898?

Answer: LCM of Numerators as per given numbers 584/135, 546/188, 580/898 is

LCM of Numerators i.e. for 584,546,580 is 23117640

GCF of denominators i.e. for 135,188,898 is 1.

Thus, LCM of Fractions is 23117640.Finally, LCM of Fractions for 584/135, 546/188, 580/898 is 23117640.