Least Common Multiple of 81/975, 667/360, 577/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/975, 667/360, 577/731 quickly i.e. 31173579 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/975, 667/360, 577/731 is 31173579.

LCM(81/975, 667/360, 577/731) = 31173579

LCM of 81/975, 667/360, 577/731

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 81/975,667/360,577/731

Given numbers are 81/975,667/360,577/731

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 81,667,577

Least Common Multiple of Numerators i.e. LCM of 81,667,577 is 31173579.

GCF of Denominators means GCF of 975,360,731 as per the given fractions.

GCF of 975,360,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,667,577

LCM of Fractions 81/975,667/360,577/731 is 31173579

Given numbers has no common factors except 1. So, there LCM is their product i.e 31173579

Least Common Multiple of 81,667,577 with GCF Formula

Least Common Multiple of 81,667,577 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 81,667,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,667,577) = 1

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

GCF(81,667,577) x common factors =1 x 1 = 1

LCM(81,667,577) = ( 81 × 667 × 577 ) / 1

LCM(81,667,577) = 31173579 / 1

LCM(81,667,577) = 31173579


Lets's calculate GCF of 975,360,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31173579/1

Therefore the LCM of Fractions 81/975,667/360,577/731 is 31173579

Greatest Common Factor of 975,360,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,360,731 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 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 975,360,731 . The biggest common factor number is the GCF number.
So the greatest common factor 975,360,731 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 81/975, 667/360, 577/731

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 81/975, 667/360, 577/731?

Answer: LCM of Numerators as per given numbers 81/975, 667/360, 577/731 is

LCM of Numerators i.e. for 81,667,577 is 31173579

GCF of denominators i.e. for 975,360,731 is 1.

Thus, LCM of Fractions is 31173579.Finally, LCM of Fractions for 81/975, 667/360, 577/731 is 31173579.