Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2386/519, 7427/613 quickly i.e. 17720822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2386/519, 7427/613 is 17720822.
LCM(2386/519, 7427/613) = 17720822
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2386/519,7427/613
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 2386,7427
Least Common Multiple of Numerators i.e. LCM of 2386,7427 is 17720822.
GCF of Denominators means GCF of 519,613 as per the given fractions.
GCF of 519,613 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2386,7427
Given numbers has no common factors except 1. So, there LCM is their product i.e 17720822
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 2386,7427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2386,7427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2386,7427) x common factors =1 x 1 = 1
LCM(2386,7427) = ( 2386 × 7427 ) / 1
LCM(2386,7427) = 17720822 / 1
LCM(2386,7427) = 17720822
Lets's calculate GCF of 519,613
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17720822/1
Therefore the LCM of Fractions 2386/519,7427/613 is 17720822
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Greatest Common Factor
We found the factors 519,613 . The biggest common factor number is the GCF number.
So the greatest common factor 519,613 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 2386/519, 7427/613?
Answer: LCM of Numerators as per given numbers 2386/519, 7427/613 is
LCM of Numerators i.e. for 2386,7427 is 17720822
GCF of denominators i.e. for 519,613 is 1.
Thus, LCM of Fractions is 17720822.Finally, LCM of Fractions for 2386/519, 7427/613 is 17720822.