Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2109/539, 8831/6480 quickly i.e. 18624579 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2109/539, 8831/6480 is 18624579.
LCM(2109/539, 8831/6480) = 18624579
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2109/539,8831/6480
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 2109,8831
Least Common Multiple of Numerators i.e. LCM of 2109,8831 is 18624579.
GCF of Denominators means GCF of 539,6480 as per the given fractions.
GCF of 539,6480 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2109,8831
Given numbers has no common factors except 1. So, there LCM is their product i.e 18624579
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 2109,8831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2109,8831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2109,8831) x common factors =1 x 1 = 1
LCM(2109,8831) = ( 2109 × 8831 ) / 1
LCM(2109,8831) = 18624579 / 1
LCM(2109,8831) = 18624579
Lets's calculate GCF of 539,6480
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18624579/1
Therefore the LCM of Fractions 2109/539,8831/6480 is 18624579
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 6480
List of positive integer factors of 6480 that divides 6480 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,81,90,108,120,135,144,162,180,216,240,270,324,360,405,432,540,648,720,810,1080,1296,1620,2160,3240,6480
Greatest Common Factor
We found the factors 539,6480 . The biggest common factor number is the GCF number.
So the greatest common factor 539,6480 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 2109/539, 8831/6480?
Answer: LCM of Numerators as per given numbers 2109/539, 8831/6480 is
LCM of Numerators i.e. for 2109,8831 is 18624579
GCF of denominators i.e. for 539,6480 is 1.
Thus, LCM of Fractions is 18624579.Finally, LCM of Fractions for 2109/539, 8831/6480 is 18624579.