Least Common Multiple of 720/791, 8180/2863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/791, 8180/2863 quickly i.e. 294480/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/791, 8180/2863 is 294480/7.

LCM(720/791, 8180/2863) = 294480/7

LCM of 720/791, 8180/2863

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 720/791,8180/2863

Given numbers are 720/791,8180/2863

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 720,8180

Least Common Multiple of Numerators i.e. LCM of 720,8180 is 294480.

GCF of Denominators means GCF of 791,2863 as per the given fractions.

GCF of 791,2863 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,8180

LCM of Fractions 720/791,8180/2863 is 294480/7

2 720, 8180
2 360, 4090
5 180, 2045
36, 409

∴ So the LCM of the given numbers is 2 x 2 x 5 x 36 x 409 = 294480

Least Common Multiple of 720,8180 with GCF Formula

Least Common Multiple of 720,8180 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 720,8180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,8180) = 20

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

GCF(720,8180) x common factors =20 x 1 = 20

LCM(720,8180) = ( 720 × 8180 ) / 20

LCM(720,8180) = 5889600 / 20

LCM(720,8180) = 294480


Lets's calculate GCF of 791,2863

7 791, 2863
113, 409

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294480/7

Therefore the LCM of Fractions 720/791,8180/2863 is 294480/7

Greatest Common Factor of 791,2863 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,2863 By Matching Biggest Common Factor Method

Factors of 791

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

1,7,113,791

Factors of 2863

List of positive integer factors of 2863 that divides 2863 without a remainder.

1,7,409,2863

Greatest Common Factor

We found the factors 791,2863 . The biggest common factor number is the GCF number.
So the greatest common factor 791,2863 is 7.


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 720/791, 8180/2863

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 720/791, 8180/2863?

Answer: LCM of Numerators as per given numbers 720/791, 8180/2863 is

LCM of Numerators i.e. for 720,8180 is 294480

GCF of denominators i.e. for 791,2863 is 7.

Thus, LCM of Fractions is 294480/7.Finally, LCM of Fractions for 720/791, 8180/2863 is 294480/7.