Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8118/759, 2487/831 quickly i.e. 2243274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8118/759, 2487/831 is 2243274.
LCM(8118/759, 2487/831) = 2243274
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8118/759,2487/831
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 8118,2487
Least Common Multiple of Numerators i.e. LCM of 8118,2487 is 6729822.
GCF of Denominators means GCF of 759,831 as per the given fractions.
GCF of 759,831 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8118,2487
3 | 8118, 2487 |
2706, 829 |
∴ So the LCM of the given numbers is 3 x 2706 x 829 = 6729822
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 8118,2487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8118,2487) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8118,2487) x common factors =3 x 1 = 3
LCM(8118,2487) = ( 8118 × 2487 ) / 3
LCM(8118,2487) = 20189466 / 3
LCM(8118,2487) = 6729822
Lets's calculate GCF of 759,831
3 | 759, 831 |
253, 277 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6729822/3
Therefore the LCM of Fractions 8118/759,2487/831 is 2243274
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Greatest Common Factor
We found the factors 759,831 . The biggest common factor number is the GCF number.
So the greatest common factor 759,831 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 8118/759, 2487/831?
Answer: LCM of Numerators as per given numbers 8118/759, 2487/831 is
LCM of Numerators i.e. for 8118,2487 is 6729822
GCF of denominators i.e. for 759,831 is 3.
Thus, LCM of Fractions is 2243274.Finally, LCM of Fractions for 8118/759, 2487/831 is 2243274.