Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 491/479, 2523/5861 quickly i.e. 1238793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 491/479, 2523/5861 is 1238793.
LCM(491/479, 2523/5861) = 1238793
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 491/479,2523/5861
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 491,2523
Least Common Multiple of Numerators i.e. LCM of 491,2523 is 1238793.
GCF of Denominators means GCF of 479,5861 as per the given fractions.
GCF of 479,5861 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 491,2523
Given numbers has no common factors except 1. So, there LCM is their product i.e 1238793
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 491,2523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,2523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,2523) x common factors =1 x 1 = 1
LCM(491,2523) = ( 491 × 2523 ) / 1
LCM(491,2523) = 1238793 / 1
LCM(491,2523) = 1238793
Lets's calculate GCF of 479,5861
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1238793/1
Therefore the LCM of Fractions 491/479,2523/5861 is 1238793
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 5861
List of positive integer factors of 5861 that divides 5861 without a remainder.
1,5861
Greatest Common Factor
We found the factors 479,5861 . The biggest common factor number is the GCF number.
So the greatest common factor 479,5861 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 491/479, 2523/5861?
Answer: LCM of Numerators as per given numbers 491/479, 2523/5861 is
LCM of Numerators i.e. for 491,2523 is 1238793
GCF of denominators i.e. for 479,5861 is 1.
Thus, LCM of Fractions is 1238793.Finally, LCM of Fractions for 491/479, 2523/5861 is 1238793.