Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6533/124, 3619/4859 quickly i.e. 503041 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6533/124, 3619/4859 is 503041.
LCM(6533/124, 3619/4859) = 503041
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6533/124,3619/4859
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 6533,3619
Least Common Multiple of Numerators i.e. LCM of 6533,3619 is 503041.
GCF of Denominators means GCF of 124,4859 as per the given fractions.
GCF of 124,4859 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6533,3619
47 | 6533, 3619 |
139, 77 |
∴ So the LCM of the given numbers is 47 x 139 x 77 = 503041
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 6533,3619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6533,3619) = 47
common factors(in case of two or more numbers have common factors) = 1
GCF(6533,3619) x common factors =47 x 1 = 47
LCM(6533,3619) = ( 6533 × 3619 ) / 47
LCM(6533,3619) = 23642927 / 47
LCM(6533,3619) = 503041
Lets's calculate GCF of 124,4859
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503041/1
Therefore the LCM of Fractions 6533/124,3619/4859 is 503041
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 4859
List of positive integer factors of 4859 that divides 4859 without a remainder.
1,43,113,4859
Greatest Common Factor
We found the factors 124,4859 . The biggest common factor number is the GCF number.
So the greatest common factor 124,4859 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 6533/124, 3619/4859?
Answer: LCM of Numerators as per given numbers 6533/124, 3619/4859 is
LCM of Numerators i.e. for 6533,3619 is 503041
GCF of denominators i.e. for 124,4859 is 1.
Thus, LCM of Fractions is 503041.Finally, LCM of Fractions for 6533/124, 3619/4859 is 503041.