Least Common Multiple of 28/720, 2811/7313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/720, 2811/7313 quickly i.e. 78708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/720, 2811/7313 is 78708.

LCM(28/720, 2811/7313) = 78708

LCM of 28/720, 2811/7313

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 28/720,2811/7313

Given numbers are 28/720,2811/7313

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 28,2811

Least Common Multiple of Numerators i.e. LCM of 28,2811 is 78708.

GCF of Denominators means GCF of 720,7313 as per the given fractions.

GCF of 720,7313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,2811

LCM of Fractions 28/720,2811/7313 is 78708

Given numbers has no common factors except 1. So, there LCM is their product i.e 78708

Least Common Multiple of 28,2811 with GCF Formula

Least Common Multiple of 28,2811 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 28,2811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,2811) = 1

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

GCF(28,2811) x common factors =1 x 1 = 1

LCM(28,2811) = ( 28 × 2811 ) / 1

LCM(28,2811) = 78708 / 1

LCM(28,2811) = 78708


Lets's calculate GCF of 720,7313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78708/1

Therefore the LCM of Fractions 28/720,2811/7313 is 78708

Greatest Common Factor of 720,7313 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,7313 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 7313

List of positive integer factors of 7313 that divides 7313 without a remainder.

1,71,103,7313

Greatest Common Factor

We found the factors 720,7313 . The biggest common factor number is the GCF number.
So the greatest common factor 720,7313 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 28/720, 2811/7313

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 28/720, 2811/7313?

Answer: LCM of Numerators as per given numbers 28/720, 2811/7313 is

LCM of Numerators i.e. for 28,2811 is 78708

GCF of denominators i.e. for 720,7313 is 1.

Thus, LCM of Fractions is 78708.Finally, LCM of Fractions for 28/720, 2811/7313 is 78708.