Least Common Multiple of 771/80, 745/60, 591/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 771/80, 745/60, 591/827 quickly i.e. 113155815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 771/80, 745/60, 591/827 is 113155815.

LCM(771/80, 745/60, 591/827) = 113155815

LCM of 771/80, 745/60, 591/827

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 771/80,745/60,591/827

Given numbers are 771/80,745/60,591/827

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 771,745,591

Least Common Multiple of Numerators i.e. LCM of 771,745,591 is 113155815.

GCF of Denominators means GCF of 80,60,827 as per the given fractions.

GCF of 80,60,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 771,745,591

LCM of Fractions 771/80,745/60,591/827 is 113155815

3 771, 745, 591
257, 745, 197

∴ So the LCM of the given numbers is 3 x 257 x 745 x 197 = 113155815

Least Common Multiple of 771,745,591 with GCF Formula

Least Common Multiple of 771,745,591 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 771,745,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,745,591) = 1

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

GCF(771,745,591) x common factors =1 x 3 = 3

LCM(771,745,591) = ( 771 × 745 × 591 ) / 3

LCM(771,745,591) = 339467445 / 3

LCM(771,745,591) = 113155815


Lets's calculate GCF of 80,60,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113155815/1

Therefore the LCM of Fractions 771/80,745/60,591/827 is 113155815

Greatest Common Factor of 80,60,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,60,827 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 80,60,827 . The biggest common factor number is the GCF number.
So the greatest common factor 80,60,827 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 771/80, 745/60, 591/827

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 771/80, 745/60, 591/827?

Answer: LCM of Numerators as per given numbers 771/80, 745/60, 591/827 is

LCM of Numerators i.e. for 771,745,591 is 113155815

GCF of denominators i.e. for 80,60,827 is 1.

Thus, LCM of Fractions is 113155815.Finally, LCM of Fractions for 771/80, 745/60, 591/827 is 113155815.