Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8486/879, 4194/3813 quickly i.e. 5931714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8486/879, 4194/3813 is 5931714.
LCM(8486/879, 4194/3813) = 5931714
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8486/879,4194/3813
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 8486,4194
Least Common Multiple of Numerators i.e. LCM of 8486,4194 is 17795142.
GCF of Denominators means GCF of 879,3813 as per the given fractions.
GCF of 879,3813 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8486,4194
2 | 8486, 4194 |
4243, 2097 |
∴ So the LCM of the given numbers is 2 x 4243 x 2097 = 17795142
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 8486,4194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8486,4194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8486,4194) x common factors =2 x 1 = 2
LCM(8486,4194) = ( 8486 × 4194 ) / 2
LCM(8486,4194) = 35590284 / 2
LCM(8486,4194) = 17795142
Lets's calculate GCF of 879,3813
3 | 879, 3813 |
293, 1271 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17795142/3
Therefore the LCM of Fractions 8486/879,4194/3813 is 5931714
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 3813
List of positive integer factors of 3813 that divides 3813 without a remainder.
1,3,31,41,93,123,1271,3813
Greatest Common Factor
We found the factors 879,3813 . The biggest common factor number is the GCF number.
So the greatest common factor 879,3813 is 3.
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 8486/879, 4194/3813?
Answer: LCM of Numerators as per given numbers 8486/879, 4194/3813 is
LCM of Numerators i.e. for 8486,4194 is 17795142
GCF of denominators i.e. for 879,3813 is 3.
Thus, LCM of Fractions is 5931714.Finally, LCM of Fractions for 8486/879, 4194/3813 is 5931714.