Least Common Multiple of 13/72, 44/761, 873/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/72, 44/761, 873/180 quickly i.e. 499356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/72, 44/761, 873/180 is 499356.

LCM(13/72, 44/761, 873/180) = 499356

LCM of 13/72, 44/761, 873/180

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 13/72,44/761,873/180

Given numbers are 13/72,44/761,873/180

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 13,44,873

Least Common Multiple of Numerators i.e. LCM of 13,44,873 is 499356.

GCF of Denominators means GCF of 72,761,180 as per the given fractions.

GCF of 72,761,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,44,873

LCM of Fractions 13/72,44/761,873/180 is 499356

Given numbers has no common factors except 1. So, there LCM is their product i.e 499356

Least Common Multiple of 13,44,873 with GCF Formula

Least Common Multiple of 13,44,873 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 13,44,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,44,873) = 1

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

GCF(13,44,873) x common factors =1 x 1 = 1

LCM(13,44,873) = ( 13 × 44 × 873 ) / 1

LCM(13,44,873) = 499356 / 1

LCM(13,44,873) = 499356


Lets's calculate GCF of 72,761,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499356/1

Therefore the LCM of Fractions 13/72,44/761,873/180 is 499356

Greatest Common Factor of 72,761,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,761,180 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 72,761,180 . The biggest common factor number is the GCF number.
So the greatest common factor 72,761,180 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 13/72, 44/761, 873/180

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 13/72, 44/761, 873/180?

Answer: LCM of Numerators as per given numbers 13/72, 44/761, 873/180 is

LCM of Numerators i.e. for 13,44,873 is 499356

GCF of denominators i.e. for 72,761,180 is 1.

Thus, LCM of Fractions is 499356.Finally, LCM of Fractions for 13/72, 44/761, 873/180 is 499356.