Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3934/896, 9427/5791 quickly i.e. 37085818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3934/896, 9427/5791 is 37085818.
LCM(3934/896, 9427/5791) = 37085818
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3934/896,9427/5791
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 3934,9427
Least Common Multiple of Numerators i.e. LCM of 3934,9427 is 37085818.
GCF of Denominators means GCF of 896,5791 as per the given fractions.
GCF of 896,5791 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3934,9427
Given numbers has no common factors except 1. So, there LCM is their product i.e 37085818
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 3934,9427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3934,9427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3934,9427) x common factors =1 x 1 = 1
LCM(3934,9427) = ( 3934 × 9427 ) / 1
LCM(3934,9427) = 37085818 / 1
LCM(3934,9427) = 37085818
Lets's calculate GCF of 896,5791
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37085818/1
Therefore the LCM of Fractions 3934/896,9427/5791 is 37085818
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Factors of 5791
List of positive integer factors of 5791 that divides 5791 without a remainder.
1,5791
Greatest Common Factor
We found the factors 896,5791 . The biggest common factor number is the GCF number.
So the greatest common factor 896,5791 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 3934/896, 9427/5791?
Answer: LCM of Numerators as per given numbers 3934/896, 9427/5791 is
LCM of Numerators i.e. for 3934,9427 is 37085818
GCF of denominators i.e. for 896,5791 is 1.
Thus, LCM of Fractions is 37085818.Finally, LCM of Fractions for 3934/896, 9427/5791 is 37085818.