Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1859/313, 7024/4353 quickly i.e. 13057616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1859/313, 7024/4353 is 13057616.
LCM(1859/313, 7024/4353) = 13057616
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1859/313,7024/4353
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 1859,7024
Least Common Multiple of Numerators i.e. LCM of 1859,7024 is 13057616.
GCF of Denominators means GCF of 313,4353 as per the given fractions.
GCF of 313,4353 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1859,7024
Given numbers has no common factors except 1. So, there LCM is their product i.e 13057616
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 1859,7024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1859,7024) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1859,7024) x common factors =1 x 1 = 1
LCM(1859,7024) = ( 1859 × 7024 ) / 1
LCM(1859,7024) = 13057616 / 1
LCM(1859,7024) = 13057616
Lets's calculate GCF of 313,4353
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13057616/1
Therefore the LCM of Fractions 1859/313,7024/4353 is 13057616
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 4353
List of positive integer factors of 4353 that divides 4353 without a remainder.
1,3,1451,4353
Greatest Common Factor
We found the factors 313,4353 . The biggest common factor number is the GCF number.
So the greatest common factor 313,4353 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 1859/313, 7024/4353?
Answer: LCM of Numerators as per given numbers 1859/313, 7024/4353 is
LCM of Numerators i.e. for 1859,7024 is 13057616
GCF of denominators i.e. for 313,4353 is 1.
Thus, LCM of Fractions is 13057616.Finally, LCM of Fractions for 1859/313, 7024/4353 is 13057616.