Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5197/395, 8865/3806 quickly i.e. 46071405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5197/395, 8865/3806 is 46071405.
LCM(5197/395, 8865/3806) = 46071405
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5197/395,8865/3806
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 5197,8865
Least Common Multiple of Numerators i.e. LCM of 5197,8865 is 46071405.
GCF of Denominators means GCF of 395,3806 as per the given fractions.
GCF of 395,3806 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5197,8865
Given numbers has no common factors except 1. So, there LCM is their product i.e 46071405
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 5197,8865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5197,8865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5197,8865) x common factors =1 x 1 = 1
LCM(5197,8865) = ( 5197 × 8865 ) / 1
LCM(5197,8865) = 46071405 / 1
LCM(5197,8865) = 46071405
Lets's calculate GCF of 395,3806
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46071405/1
Therefore the LCM of Fractions 5197/395,8865/3806 is 46071405
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 3806
List of positive integer factors of 3806 that divides 3806 without a remainder.
1,2,11,22,173,346,1903,3806
Greatest Common Factor
We found the factors 395,3806 . The biggest common factor number is the GCF number.
So the greatest common factor 395,3806 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 5197/395, 8865/3806?
Answer: LCM of Numerators as per given numbers 5197/395, 8865/3806 is
LCM of Numerators i.e. for 5197,8865 is 46071405
GCF of denominators i.e. for 395,3806 is 1.
Thus, LCM of Fractions is 46071405.Finally, LCM of Fractions for 5197/395, 8865/3806 is 46071405.