Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6083/852, 9285/439 quickly i.e. 56480655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6083/852, 9285/439 is 56480655.
LCM(6083/852, 9285/439) = 56480655
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6083/852,9285/439
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 6083,9285
Least Common Multiple of Numerators i.e. LCM of 6083,9285 is 56480655.
GCF of Denominators means GCF of 852,439 as per the given fractions.
GCF of 852,439 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6083,9285
Given numbers has no common factors except 1. So, there LCM is their product i.e 56480655
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 6083,9285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6083,9285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6083,9285) x common factors =1 x 1 = 1
LCM(6083,9285) = ( 6083 × 9285 ) / 1
LCM(6083,9285) = 56480655 / 1
LCM(6083,9285) = 56480655
Lets's calculate GCF of 852,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56480655/1
Therefore the LCM of Fractions 6083/852,9285/439 is 56480655
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Greatest Common Factor
We found the factors 852,439 . The biggest common factor number is the GCF number.
So the greatest common factor 852,439 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 6083/852, 9285/439?
Answer: LCM of Numerators as per given numbers 6083/852, 9285/439 is
LCM of Numerators i.e. for 6083,9285 is 56480655
GCF of denominators i.e. for 852,439 is 1.
Thus, LCM of Fractions is 56480655.Finally, LCM of Fractions for 6083/852, 9285/439 is 56480655.