Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2617/471, 7342/6599 quickly i.e. 19214014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2617/471, 7342/6599 is 19214014.
LCM(2617/471, 7342/6599) = 19214014
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2617/471,7342/6599
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 2617,7342
Least Common Multiple of Numerators i.e. LCM of 2617,7342 is 19214014.
GCF of Denominators means GCF of 471,6599 as per the given fractions.
GCF of 471,6599 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2617,7342
Given numbers has no common factors except 1. So, there LCM is their product i.e 19214014
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 2617,7342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2617,7342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2617,7342) x common factors =1 x 1 = 1
LCM(2617,7342) = ( 2617 × 7342 ) / 1
LCM(2617,7342) = 19214014 / 1
LCM(2617,7342) = 19214014
Lets's calculate GCF of 471,6599
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19214014/1
Therefore the LCM of Fractions 2617/471,7342/6599 is 19214014
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 6599
List of positive integer factors of 6599 that divides 6599 without a remainder.
1,6599
Greatest Common Factor
We found the factors 471,6599 . The biggest common factor number is the GCF number.
So the greatest common factor 471,6599 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 2617/471, 7342/6599?
Answer: LCM of Numerators as per given numbers 2617/471, 7342/6599 is
LCM of Numerators i.e. for 2617,7342 is 19214014
GCF of denominators i.e. for 471,6599 is 1.
Thus, LCM of Fractions is 19214014.Finally, LCM of Fractions for 2617/471, 7342/6599 is 19214014.