Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4399/431, 6836/4509 quickly i.e. 30071564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4399/431, 6836/4509 is 30071564.
LCM(4399/431, 6836/4509) = 30071564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4399/431,6836/4509
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 4399,6836
Least Common Multiple of Numerators i.e. LCM of 4399,6836 is 30071564.
GCF of Denominators means GCF of 431,4509 as per the given fractions.
GCF of 431,4509 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4399,6836
Given numbers has no common factors except 1. So, there LCM is their product i.e 30071564
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 4399,6836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4399,6836) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4399,6836) x common factors =1 x 1 = 1
LCM(4399,6836) = ( 4399 × 6836 ) / 1
LCM(4399,6836) = 30071564 / 1
LCM(4399,6836) = 30071564
Lets's calculate GCF of 431,4509
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30071564/1
Therefore the LCM of Fractions 4399/431,6836/4509 is 30071564
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Factors of 4509
List of positive integer factors of 4509 that divides 4509 without a remainder.
1,3,9,27,167,501,1503,4509
Greatest Common Factor
We found the factors 431,4509 . The biggest common factor number is the GCF number.
So the greatest common factor 431,4509 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 4399/431, 6836/4509?
Answer: LCM of Numerators as per given numbers 4399/431, 6836/4509 is
LCM of Numerators i.e. for 4399,6836 is 30071564
GCF of denominators i.e. for 431,4509 is 1.
Thus, LCM of Fractions is 30071564.Finally, LCM of Fractions for 4399/431, 6836/4509 is 30071564.