Least Common Multiple of 5583/585, 2013/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5583/585, 2013/195 quickly i.e. 3746193/195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5583/585, 2013/195 is 3746193/195.

LCM(5583/585, 2013/195) = 3746193/195

LCM of 5583/585, 2013/195

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 5583/585,2013/195

Given numbers are 5583/585,2013/195

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 5583,2013

Least Common Multiple of Numerators i.e. LCM of 5583,2013 is 3746193.

GCF of Denominators means GCF of 585,195 as per the given fractions.

GCF of 585,195 is 195 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5583,2013

LCM of Fractions 5583/585,2013/195 is 3746193/195

3 5583, 2013
1861, 671

∴ So the LCM of the given numbers is 3 x 1861 x 671 = 3746193

Least Common Multiple of 5583,2013 with GCF Formula

Least Common Multiple of 5583,2013 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 5583,2013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5583,2013) = 3

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

GCF(5583,2013) x common factors =3 x 1 = 3

LCM(5583,2013) = ( 5583 × 2013 ) / 3

LCM(5583,2013) = 11238579 / 3

LCM(5583,2013) = 3746193


Lets's calculate GCF of 585,195

3 585, 195
5 195, 65
13 39, 13
3, 1

∴ So the GCF of the given numbers is 3 x 5 x 13 = 195

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3746193/195

Therefore the LCM of Fractions 5583/585,2013/195 is 3746193/195

Greatest Common Factor of 585,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,195 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 585,195 . The biggest common factor number is the GCF number.
So the greatest common factor 585,195 is 195.


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 5583/585, 2013/195

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 5583/585, 2013/195?

Answer: LCM of Numerators as per given numbers 5583/585, 2013/195 is

LCM of Numerators i.e. for 5583,2013 is 3746193

GCF of denominators i.e. for 585,195 is 195.

Thus, LCM of Fractions is 3746193/195.Finally, LCM of Fractions for 5583/585, 2013/195 is 3746193/195.