Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2808/876, 8446/3983 quickly i.e. 11858184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2808/876, 8446/3983 is 11858184.
LCM(2808/876, 8446/3983) = 11858184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2808/876,8446/3983
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 2808,8446
Least Common Multiple of Numerators i.e. LCM of 2808,8446 is 11858184.
GCF of Denominators means GCF of 876,3983 as per the given fractions.
GCF of 876,3983 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2808,8446
2 | 2808, 8446 |
1404, 4223 |
∴ So the LCM of the given numbers is 2 x 1404 x 4223 = 11858184
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 2808,8446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2808,8446) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2808,8446) x common factors =2 x 1 = 2
LCM(2808,8446) = ( 2808 × 8446 ) / 2
LCM(2808,8446) = 23716368 / 2
LCM(2808,8446) = 11858184
Lets's calculate GCF of 876,3983
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11858184/1
Therefore the LCM of Fractions 2808/876,8446/3983 is 11858184
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
Factors of 3983
List of positive integer factors of 3983 that divides 3983 without a remainder.
1,7,569,3983
Greatest Common Factor
We found the factors 876,3983 . The biggest common factor number is the GCF number.
So the greatest common factor 876,3983 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 2808/876, 8446/3983?
Answer: LCM of Numerators as per given numbers 2808/876, 8446/3983 is
LCM of Numerators i.e. for 2808,8446 is 11858184
GCF of denominators i.e. for 876,3983 is 1.
Thus, LCM of Fractions is 11858184.Finally, LCM of Fractions for 2808/876, 8446/3983 is 11858184.