Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3517/239, 2879/5057 quickly i.e. 10125443 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3517/239, 2879/5057 is 10125443.
LCM(3517/239, 2879/5057) = 10125443
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3517/239,2879/5057
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 3517,2879
Least Common Multiple of Numerators i.e. LCM of 3517,2879 is 10125443.
GCF of Denominators means GCF of 239,5057 as per the given fractions.
GCF of 239,5057 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3517,2879
Given numbers has no common factors except 1. So, there LCM is their product i.e 10125443
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 3517,2879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3517,2879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3517,2879) x common factors =1 x 1 = 1
LCM(3517,2879) = ( 3517 × 2879 ) / 1
LCM(3517,2879) = 10125443 / 1
LCM(3517,2879) = 10125443
Lets's calculate GCF of 239,5057
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10125443/1
Therefore the LCM of Fractions 3517/239,2879/5057 is 10125443
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 5057
List of positive integer factors of 5057 that divides 5057 without a remainder.
1,13,389,5057
Greatest Common Factor
We found the factors 239,5057 . The biggest common factor number is the GCF number.
So the greatest common factor 239,5057 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 3517/239, 2879/5057?
Answer: LCM of Numerators as per given numbers 3517/239, 2879/5057 is
LCM of Numerators i.e. for 3517,2879 is 10125443
GCF of denominators i.e. for 239,5057 is 1.
Thus, LCM of Fractions is 10125443.Finally, LCM of Fractions for 3517/239, 2879/5057 is 10125443.