Least Common Multiple of 580/544, 2208/9444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/544, 2208/9444 quickly i.e. 80040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/544, 2208/9444 is 80040.

LCM(580/544, 2208/9444) = 80040

LCM of 580/544, 2208/9444

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 580/544,2208/9444

Given numbers are 580/544,2208/9444

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 580,2208

Least Common Multiple of Numerators i.e. LCM of 580,2208 is 320160.

GCF of Denominators means GCF of 544,9444 as per the given fractions.

GCF of 544,9444 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,2208

LCM of Fractions 580/544,2208/9444 is 80040

2 580, 2208
2 290, 1104
145, 552

∴ So the LCM of the given numbers is 2 x 2 x 145 x 552 = 320160

Least Common Multiple of 580,2208 with GCF Formula

Least Common Multiple of 580,2208 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 580,2208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,2208) = 4

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

GCF(580,2208) x common factors =4 x 1 = 4

LCM(580,2208) = ( 580 × 2208 ) / 4

LCM(580,2208) = 1280640 / 4

LCM(580,2208) = 320160


Lets's calculate GCF of 544,9444

2 544, 9444
2 272, 4722
136, 2361

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320160/4

Therefore the LCM of Fractions 580/544,2208/9444 is 80040

Greatest Common Factor of 544,9444 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,9444 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 9444

List of positive integer factors of 9444 that divides 9444 without a remainder.

1,2,3,4,6,12,787,1574,2361,3148,4722,9444

Greatest Common Factor

We found the factors 544,9444 . The biggest common factor number is the GCF number.
So the greatest common factor 544,9444 is 4.


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 580/544, 2208/9444

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 580/544, 2208/9444?

Answer: LCM of Numerators as per given numbers 580/544, 2208/9444 is

LCM of Numerators i.e. for 580,2208 is 320160

GCF of denominators i.e. for 544,9444 is 4.

Thus, LCM of Fractions is 80040.Finally, LCM of Fractions for 580/544, 2208/9444 is 80040.