Least Common Multiple of 580/975, 575/826, 764/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/975, 575/826, 764/791 quickly i.e. 12739700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/975, 575/826, 764/791 is 12739700.

LCM(580/975, 575/826, 764/791) = 12739700

LCM of 580/975, 575/826, 764/791

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 580/975,575/826,764/791

Given numbers are 580/975,575/826,764/791

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 580,575,764

Least Common Multiple of Numerators i.e. LCM of 580,575,764 is 12739700.

GCF of Denominators means GCF of 975,826,791 as per the given fractions.

GCF of 975,826,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,575,764

LCM of Fractions 580/975,575/826,764/791 is 12739700

2 580, 575, 764
2 290, 575, 382
5 145, 575, 191
29, 115, 191

∴ So the LCM of the given numbers is 2 x 2 x 5 x 29 x 115 x 191 = 12739700

Least Common Multiple of 580,575,764 with GCF Formula

Least Common Multiple of 580,575,764 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 580,575,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,575,764) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(580,575,764) x common factors =1 x 20 = 20

LCM(580,575,764) = ( 580 × 575 × 764 ) / 20

LCM(580,575,764) = 254794000 / 20

LCM(580,575,764) = 12739700


Lets's calculate GCF of 975,826,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12739700/1

Therefore the LCM of Fractions 580/975,575/826,764/791 is 12739700

Greatest Common Factor of 975,826,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,826,791 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 975,826,791 . The biggest common factor number is the GCF number.
So the greatest common factor 975,826,791 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 580/975, 575/826, 764/791

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 580/975, 575/826, 764/791?

Answer: LCM of Numerators as per given numbers 580/975, 575/826, 764/791 is

LCM of Numerators i.e. for 580,575,764 is 12739700

GCF of denominators i.e. for 975,826,791 is 1.

Thus, LCM of Fractions is 12739700.Finally, LCM of Fractions for 580/975, 575/826, 764/791 is 12739700.