Least Common Multiple of 7809/763, 8889/4280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7809/763, 8889/4280 quickly i.e. 23138067 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7809/763, 8889/4280 is 23138067.

LCM(7809/763, 8889/4280) = 23138067

LCM of 7809/763, 8889/4280

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 7809/763,8889/4280

Given numbers are 7809/763,8889/4280

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 7809,8889

Least Common Multiple of Numerators i.e. LCM of 7809,8889 is 23138067.

GCF of Denominators means GCF of 763,4280 as per the given fractions.

GCF of 763,4280 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7809,8889

LCM of Fractions 7809/763,8889/4280 is 23138067

3 7809, 8889
2603, 2963

∴ So the LCM of the given numbers is 3 x 2603 x 2963 = 23138067

Least Common Multiple of 7809,8889 with GCF Formula

Least Common Multiple of 7809,8889 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 7809,8889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7809,8889) = 3

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

GCF(7809,8889) x common factors =3 x 1 = 3

LCM(7809,8889) = ( 7809 × 8889 ) / 3

LCM(7809,8889) = 69414201 / 3

LCM(7809,8889) = 23138067


Lets's calculate GCF of 763,4280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23138067/1

Therefore the LCM of Fractions 7809/763,8889/4280 is 23138067

Greatest Common Factor of 763,4280 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,4280 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 4280

List of positive integer factors of 4280 that divides 4280 without a remainder.

1,2,4,5,8,10,20,40,107,214,428,535,856,1070,2140,4280

Greatest Common Factor

We found the factors 763,4280 . The biggest common factor number is the GCF number.
So the greatest common factor 763,4280 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 7809/763, 8889/4280

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 7809/763, 8889/4280?

Answer: LCM of Numerators as per given numbers 7809/763, 8889/4280 is

LCM of Numerators i.e. for 7809,8889 is 23138067

GCF of denominators i.e. for 763,4280 is 1.

Thus, LCM of Fractions is 23138067.Finally, LCM of Fractions for 7809/763, 8889/4280 is 23138067.