Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2618/394, 7818/876 quickly i.e. 5116881 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2618/394, 7818/876 is 5116881.
LCM(2618/394, 7818/876) = 5116881
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2618/394,7818/876
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 2618,7818
Least Common Multiple of Numerators i.e. LCM of 2618,7818 is 10233762.
GCF of Denominators means GCF of 394,876 as per the given fractions.
GCF of 394,876 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2618,7818
2 | 2618, 7818 |
1309, 3909 |
∴ So the LCM of the given numbers is 2 x 1309 x 3909 = 10233762
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 2618,7818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2618,7818) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2618,7818) x common factors =2 x 1 = 2
LCM(2618,7818) = ( 2618 × 7818 ) / 2
LCM(2618,7818) = 20467524 / 2
LCM(2618,7818) = 10233762
Lets's calculate GCF of 394,876
2 | 394, 876 |
197, 438 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10233762/2
Therefore the LCM of Fractions 2618/394,7818/876 is 5116881
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 394,876 . The biggest common factor number is the GCF number.
So the greatest common factor 394,876 is 2.
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 2618/394, 7818/876?
Answer: LCM of Numerators as per given numbers 2618/394, 7818/876 is
LCM of Numerators i.e. for 2618,7818 is 10233762
GCF of denominators i.e. for 394,876 is 2.
Thus, LCM of Fractions is 5116881.Finally, LCM of Fractions for 2618/394, 7818/876 is 5116881.