Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6544/580, 3860/4873 quickly i.e. 6314960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6544/580, 3860/4873 is 6314960.
LCM(6544/580, 3860/4873) = 6314960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6544/580,3860/4873
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 6544,3860
Least Common Multiple of Numerators i.e. LCM of 6544,3860 is 6314960.
GCF of Denominators means GCF of 580,4873 as per the given fractions.
GCF of 580,4873 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6544,3860
2 | 6544, 3860 |
2 | 3272, 1930 |
1636, 965 |
∴ So the LCM of the given numbers is 2 x 2 x 1636 x 965 = 6314960
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 6544,3860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6544,3860) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(6544,3860) x common factors =4 x 1 = 4
LCM(6544,3860) = ( 6544 × 3860 ) / 4
LCM(6544,3860) = 25259840 / 4
LCM(6544,3860) = 6314960
Lets's calculate GCF of 580,4873
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6314960/1
Therefore the LCM of Fractions 6544/580,3860/4873 is 6314960
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 4873
List of positive integer factors of 4873 that divides 4873 without a remainder.
1,11,443,4873
Greatest Common Factor
We found the factors 580,4873 . The biggest common factor number is the GCF number.
So the greatest common factor 580,4873 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 6544/580, 3860/4873?
Answer: LCM of Numerators as per given numbers 6544/580, 3860/4873 is
LCM of Numerators i.e. for 6544,3860 is 6314960
GCF of denominators i.e. for 580,4873 is 1.
Thus, LCM of Fractions is 6314960.Finally, LCM of Fractions for 6544/580, 3860/4873 is 6314960.