Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7351/601, 9071/413 quickly i.e. 66680921 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7351/601, 9071/413 is 66680921.
LCM(7351/601, 9071/413) = 66680921
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7351/601,9071/413
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 7351,9071
Least Common Multiple of Numerators i.e. LCM of 7351,9071 is 66680921.
GCF of Denominators means GCF of 601,413 as per the given fractions.
GCF of 601,413 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7351,9071
Given numbers has no common factors except 1. So, there LCM is their product i.e 66680921
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 7351,9071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7351,9071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7351,9071) x common factors =1 x 1 = 1
LCM(7351,9071) = ( 7351 × 9071 ) / 1
LCM(7351,9071) = 66680921 / 1
LCM(7351,9071) = 66680921
Lets's calculate GCF of 601,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66680921/1
Therefore the LCM of Fractions 7351/601,9071/413 is 66680921
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Greatest Common Factor
We found the factors 601,413 . The biggest common factor number is the GCF number.
So the greatest common factor 601,413 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 7351/601, 9071/413?
Answer: LCM of Numerators as per given numbers 7351/601, 9071/413 is
LCM of Numerators i.e. for 7351,9071 is 66680921
GCF of denominators i.e. for 601,413 is 1.
Thus, LCM of Fractions is 66680921.Finally, LCM of Fractions for 7351/601, 9071/413 is 66680921.