Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5244/875, 3439/7813 quickly i.e. 949164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5244/875, 3439/7813 is 949164.
LCM(5244/875, 3439/7813) = 949164
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5244/875,3439/7813
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 5244,3439
Least Common Multiple of Numerators i.e. LCM of 5244,3439 is 949164.
GCF of Denominators means GCF of 875,7813 as per the given fractions.
GCF of 875,7813 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5244,3439
19 | 5244, 3439 |
276, 181 |
∴ So the LCM of the given numbers is 19 x 276 x 181 = 949164
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 5244,3439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5244,3439) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(5244,3439) x common factors =19 x 1 = 19
LCM(5244,3439) = ( 5244 × 3439 ) / 19
LCM(5244,3439) = 18034116 / 19
LCM(5244,3439) = 949164
Lets's calculate GCF of 875,7813
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 949164/1
Therefore the LCM of Fractions 5244/875,3439/7813 is 949164
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 7813
List of positive integer factors of 7813 that divides 7813 without a remainder.
1,13,601,7813
Greatest Common Factor
We found the factors 875,7813 . The biggest common factor number is the GCF number.
So the greatest common factor 875,7813 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 5244/875, 3439/7813?
Answer: LCM of Numerators as per given numbers 5244/875, 3439/7813 is
LCM of Numerators i.e. for 5244,3439 is 949164
GCF of denominators i.e. for 875,7813 is 1.
Thus, LCM of Fractions is 949164.Finally, LCM of Fractions for 5244/875, 3439/7813 is 949164.