Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9859/911, 4894/5712 quickly i.e. 48249946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9859/911, 4894/5712 is 48249946.
LCM(9859/911, 4894/5712) = 48249946
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9859/911,4894/5712
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 9859,4894
Least Common Multiple of Numerators i.e. LCM of 9859,4894 is 48249946.
GCF of Denominators means GCF of 911,5712 as per the given fractions.
GCF of 911,5712 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9859,4894
Given numbers has no common factors except 1. So, there LCM is their product i.e 48249946
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 9859,4894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9859,4894) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9859,4894) x common factors =1 x 1 = 1
LCM(9859,4894) = ( 9859 × 4894 ) / 1
LCM(9859,4894) = 48249946 / 1
LCM(9859,4894) = 48249946
Lets's calculate GCF of 911,5712
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48249946/1
Therefore the LCM of Fractions 9859/911,4894/5712 is 48249946
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 5712
List of positive integer factors of 5712 that divides 5712 without a remainder.
1,2,3,4,6,7,8,12,14,16,17,21,24,28,34,42,48,51,56,68,84,102,112,119,136,168,204,238,272,336,357,408,476,714,816,952,1428,1904,2856,5712
Greatest Common Factor
We found the factors 911,5712 . The biggest common factor number is the GCF number.
So the greatest common factor 911,5712 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 9859/911, 4894/5712?
Answer: LCM of Numerators as per given numbers 9859/911, 4894/5712 is
LCM of Numerators i.e. for 9859,4894 is 48249946
GCF of denominators i.e. for 911,5712 is 1.
Thus, LCM of Fractions is 48249946.Finally, LCM of Fractions for 9859/911, 4894/5712 is 48249946.