Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7318/659, 6831/7452 quickly i.e. 49989258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7318/659, 6831/7452 is 49989258.
LCM(7318/659, 6831/7452) = 49989258
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7318/659,6831/7452
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 7318,6831
Least Common Multiple of Numerators i.e. LCM of 7318,6831 is 49989258.
GCF of Denominators means GCF of 659,7452 as per the given fractions.
GCF of 659,7452 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7318,6831
Given numbers has no common factors except 1. So, there LCM is their product i.e 49989258
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 7318,6831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7318,6831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7318,6831) x common factors =1 x 1 = 1
LCM(7318,6831) = ( 7318 × 6831 ) / 1
LCM(7318,6831) = 49989258 / 1
LCM(7318,6831) = 49989258
Lets's calculate GCF of 659,7452
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49989258/1
Therefore the LCM of Fractions 7318/659,6831/7452 is 49989258
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 7452
List of positive integer factors of 7452 that divides 7452 without a remainder.
1,2,3,4,6,9,12,18,23,27,36,46,54,69,81,92,108,138,162,207,276,324,414,621,828,1242,1863,2484,3726,7452
Greatest Common Factor
We found the factors 659,7452 . The biggest common factor number is the GCF number.
So the greatest common factor 659,7452 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 7318/659, 6831/7452?
Answer: LCM of Numerators as per given numbers 7318/659, 6831/7452 is
LCM of Numerators i.e. for 7318,6831 is 49989258
GCF of denominators i.e. for 659,7452 is 1.
Thus, LCM of Fractions is 49989258.Finally, LCM of Fractions for 7318/659, 6831/7452 is 49989258.