Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 913/12, 872/3893 quickly i.e. 796136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 913/12, 872/3893 is 796136.
LCM(913/12, 872/3893) = 796136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 913/12,872/3893
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 913,872
Least Common Multiple of Numerators i.e. LCM of 913,872 is 796136.
GCF of Denominators means GCF of 12,3893 as per the given fractions.
GCF of 12,3893 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 913,872
Given numbers has no common factors except 1. So, there LCM is their product i.e 796136
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 913,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,872) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,872) x common factors =1 x 1 = 1
LCM(913,872) = ( 913 × 872 ) / 1
LCM(913,872) = 796136 / 1
LCM(913,872) = 796136
Lets's calculate GCF of 12,3893
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 796136/1
Therefore the LCM of Fractions 913/12,872/3893 is 796136
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 3893
List of positive integer factors of 3893 that divides 3893 without a remainder.
1,17,229,3893
Greatest Common Factor
We found the factors 12,3893 . The biggest common factor number is the GCF number.
So the greatest common factor 12,3893 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 913/12, 872/3893?
Answer: LCM of Numerators as per given numbers 913/12, 872/3893 is
LCM of Numerators i.e. for 913,872 is 796136
GCF of denominators i.e. for 12,3893 is 1.
Thus, LCM of Fractions is 796136.Finally, LCM of Fractions for 913/12, 872/3893 is 796136.