Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5763/118, 9816/5291 quickly i.e. 18856536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5763/118, 9816/5291 is 18856536.
LCM(5763/118, 9816/5291) = 18856536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5763/118,9816/5291
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 5763,9816
Least Common Multiple of Numerators i.e. LCM of 5763,9816 is 18856536.
GCF of Denominators means GCF of 118,5291 as per the given fractions.
GCF of 118,5291 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5763,9816
3 | 5763, 9816 |
1921, 3272 |
∴ So the LCM of the given numbers is 3 x 1921 x 3272 = 18856536
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 5763,9816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5763,9816) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(5763,9816) x common factors =3 x 1 = 3
LCM(5763,9816) = ( 5763 × 9816 ) / 3
LCM(5763,9816) = 56569608 / 3
LCM(5763,9816) = 18856536
Lets's calculate GCF of 118,5291
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18856536/1
Therefore the LCM of Fractions 5763/118,9816/5291 is 18856536
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 5291
List of positive integer factors of 5291 that divides 5291 without a remainder.
1,11,13,37,143,407,481,5291
Greatest Common Factor
We found the factors 118,5291 . The biggest common factor number is the GCF number.
So the greatest common factor 118,5291 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 5763/118, 9816/5291?
Answer: LCM of Numerators as per given numbers 5763/118, 9816/5291 is
LCM of Numerators i.e. for 5763,9816 is 18856536
GCF of denominators i.e. for 118,5291 is 1.
Thus, LCM of Fractions is 18856536.Finally, LCM of Fractions for 5763/118, 9816/5291 is 18856536.