Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/518, 9936/5788 quickly i.e. 84456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/518, 9936/5788 is 84456.
LCM(51/518, 9936/5788) = 84456
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/518,9936/5788
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 51,9936
Least Common Multiple of Numerators i.e. LCM of 51,9936 is 168912.
GCF of Denominators means GCF of 518,5788 as per the given fractions.
GCF of 518,5788 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,9936
3 | 51, 9936 |
17, 3312 |
∴ So the LCM of the given numbers is 3 x 17 x 3312 = 168912
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 51,9936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,9936) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(51,9936) x common factors =3 x 1 = 3
LCM(51,9936) = ( 51 × 9936 ) / 3
LCM(51,9936) = 506736 / 3
LCM(51,9936) = 168912
Lets's calculate GCF of 518,5788
2 | 518, 5788 |
259, 2894 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168912/2
Therefore the LCM of Fractions 51/518,9936/5788 is 84456
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Factors of 5788
List of positive integer factors of 5788 that divides 5788 without a remainder.
1,2,4,1447,2894,5788
Greatest Common Factor
We found the factors 518,5788 . The biggest common factor number is the GCF number.
So the greatest common factor 518,5788 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 51/518, 9936/5788?
Answer: LCM of Numerators as per given numbers 51/518, 9936/5788 is
LCM of Numerators i.e. for 51,9936 is 168912
GCF of denominators i.e. for 518,5788 is 2.
Thus, LCM of Fractions is 84456.Finally, LCM of Fractions for 51/518, 9936/5788 is 84456.