Least Common Multiple of 57/580, 907/744, 339/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/580, 907/744, 339/254 quickly i.e. 5841987/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/580, 907/744, 339/254 is 5841987/2.

LCM(57/580, 907/744, 339/254) = 5841987/2

LCM of 57/580, 907/744, 339/254

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 57/580,907/744,339/254

Given numbers are 57/580,907/744,339/254

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 57,907,339

Least Common Multiple of Numerators i.e. LCM of 57,907,339 is 5841987.

GCF of Denominators means GCF of 580,744,254 as per the given fractions.

GCF of 580,744,254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,907,339

LCM of Fractions 57/580,907/744,339/254 is 5841987/2

3 57, 907, 339
19, 907, 113

∴ So the LCM of the given numbers is 3 x 19 x 907 x 113 = 5841987

Least Common Multiple of 57,907,339 with GCF Formula

Least Common Multiple of 57,907,339 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 57,907,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,907,339) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(57,907,339) x common factors =1 x 3 = 3

LCM(57,907,339) = ( 57 × 907 × 339 ) / 3

LCM(57,907,339) = 17525961 / 3

LCM(57,907,339) = 5841987


Lets's calculate GCF of 580,744,254

2 580, 744, 254
290, 372, 127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5841987/2

Therefore the LCM of Fractions 57/580,907/744,339/254 is 5841987/2

Greatest Common Factor of 580,744,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,744,254 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 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 580,744,254 . The biggest common factor number is the GCF number.
So the greatest common factor 580,744,254 is 2.


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 57/580, 907/744, 339/254

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 57/580, 907/744, 339/254?

Answer: LCM of Numerators as per given numbers 57/580, 907/744, 339/254 is

LCM of Numerators i.e. for 57,907,339 is 5841987

GCF of denominators i.e. for 580,744,254 is 2.

Thus, LCM of Fractions is 5841987/2.Finally, LCM of Fractions for 57/580, 907/744, 339/254 is 5841987/2.