Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4789/395, 3924/9364 quickly i.e. 18792036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4789/395, 3924/9364 is 18792036.
LCM(4789/395, 3924/9364) = 18792036
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4789/395,3924/9364
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 4789,3924
Least Common Multiple of Numerators i.e. LCM of 4789,3924 is 18792036.
GCF of Denominators means GCF of 395,9364 as per the given fractions.
GCF of 395,9364 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4789,3924
Given numbers has no common factors except 1. So, there LCM is their product i.e 18792036
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 4789,3924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4789,3924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4789,3924) x common factors =1 x 1 = 1
LCM(4789,3924) = ( 4789 × 3924 ) / 1
LCM(4789,3924) = 18792036 / 1
LCM(4789,3924) = 18792036
Lets's calculate GCF of 395,9364
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18792036/1
Therefore the LCM of Fractions 4789/395,3924/9364 is 18792036
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 9364
List of positive integer factors of 9364 that divides 9364 without a remainder.
1,2,4,2341,4682,9364
Greatest Common Factor
We found the factors 395,9364 . The biggest common factor number is the GCF number.
So the greatest common factor 395,9364 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 4789/395, 3924/9364?
Answer: LCM of Numerators as per given numbers 4789/395, 3924/9364 is
LCM of Numerators i.e. for 4789,3924 is 18792036
GCF of denominators i.e. for 395,9364 is 1.
Thus, LCM of Fractions is 18792036.Finally, LCM of Fractions for 4789/395, 3924/9364 is 18792036.