Least Common Multiple of 580/531, 266/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 580/531, 266/604 quickly i.e. 77140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/531, 266/604 is 77140.

LCM(580/531, 266/604) = 77140

LCM of 580/531, 266/604

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 580/531,266/604

Given numbers are 580/531,266/604

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 580,266

Least Common Multiple of Numerators i.e. LCM of 580,266 is 77140.

GCF of Denominators means GCF of 531,604 as per the given fractions.

GCF of 531,604 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,266

LCM of Fractions 580/531,266/604 is 77140

2 580, 266
290, 133

∴ So the LCM of the given numbers is 2 x 290 x 133 = 77140

Least Common Multiple of 580,266 with GCF Formula

Least Common Multiple of 580,266 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 580,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,266) = 2

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

GCF(580,266) x common factors =2 x 1 = 2

LCM(580,266) = ( 580 × 266 ) / 2

LCM(580,266) = 154280 / 2

LCM(580,266) = 77140


Lets's calculate GCF of 531,604

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77140/1

Therefore the LCM of Fractions 580/531,266/604 is 77140

Greatest Common Factor of 531,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,604 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 531,604 . The biggest common factor number is the GCF number.
So the greatest common factor 531,604 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 580/531, 266/604

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 580/531, 266/604?

Answer: LCM of Numerators as per given numbers 580/531, 266/604 is

LCM of Numerators i.e. for 580,266 is 77140

GCF of denominators i.e. for 531,604 is 1.

Thus, LCM of Fractions is 77140.Finally, LCM of Fractions for 580/531, 266/604 is 77140.