Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8178/579, 2556/4666 quickly i.e. 3483828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8178/579, 2556/4666 is 3483828.
LCM(8178/579, 2556/4666) = 3483828
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8178/579,2556/4666
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 8178,2556
Least Common Multiple of Numerators i.e. LCM of 8178,2556 is 3483828.
GCF of Denominators means GCF of 579,4666 as per the given fractions.
GCF of 579,4666 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8178,2556
2 | 8178, 2556 |
3 | 4089, 1278 |
1363, 426 |
∴ So the LCM of the given numbers is 2 x 3 x 1363 x 426 = 3483828
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 8178,2556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8178,2556) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(8178,2556) x common factors =6 x 1 = 6
LCM(8178,2556) = ( 8178 × 2556 ) / 6
LCM(8178,2556) = 20902968 / 6
LCM(8178,2556) = 3483828
Lets's calculate GCF of 579,4666
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3483828/1
Therefore the LCM of Fractions 8178/579,2556/4666 is 3483828
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Factors of 4666
List of positive integer factors of 4666 that divides 4666 without a remainder.
1,2,2333,4666
Greatest Common Factor
We found the factors 579,4666 . The biggest common factor number is the GCF number.
So the greatest common factor 579,4666 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 8178/579, 2556/4666?
Answer: LCM of Numerators as per given numbers 8178/579, 2556/4666 is
LCM of Numerators i.e. for 8178,2556 is 3483828
GCF of denominators i.e. for 579,4666 is 1.
Thus, LCM of Fractions is 3483828.Finally, LCM of Fractions for 8178/579, 2556/4666 is 3483828.