Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3131/331, 5959/124 quickly i.e. 184729 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3131/331, 5959/124 is 184729.
LCM(3131/331, 5959/124) = 184729
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3131/331,5959/124
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 3131,5959
Least Common Multiple of Numerators i.e. LCM of 3131,5959 is 184729.
GCF of Denominators means GCF of 331,124 as per the given fractions.
GCF of 331,124 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3131,5959
101 | 3131, 5959 |
31, 59 |
∴ So the LCM of the given numbers is 101 x 31 x 59 = 184729
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 3131,5959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3131,5959) = 101
common factors(in case of two or more numbers have common factors) = 1
GCF(3131,5959) x common factors =101 x 1 = 101
LCM(3131,5959) = ( 3131 × 5959 ) / 101
LCM(3131,5959) = 18657629 / 101
LCM(3131,5959) = 184729
Lets's calculate GCF of 331,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184729/1
Therefore the LCM of Fractions 3131/331,5959/124 is 184729
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 331,124 . The biggest common factor number is the GCF number.
So the greatest common factor 331,124 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 3131/331, 5959/124?
Answer: LCM of Numerators as per given numbers 3131/331, 5959/124 is
LCM of Numerators i.e. for 3131,5959 is 184729
GCF of denominators i.e. for 331,124 is 1.
Thus, LCM of Fractions is 184729.Finally, LCM of Fractions for 3131/331, 5959/124 is 184729.