Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3861/772, 6421/9037 quickly i.e. 24791481 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3861/772, 6421/9037 is 24791481.
LCM(3861/772, 6421/9037) = 24791481
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3861/772,6421/9037
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 3861,6421
Least Common Multiple of Numerators i.e. LCM of 3861,6421 is 24791481.
GCF of Denominators means GCF of 772,9037 as per the given fractions.
GCF of 772,9037 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3861,6421
Given numbers has no common factors except 1. So, there LCM is their product i.e 24791481
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 3861,6421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3861,6421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3861,6421) x common factors =1 x 1 = 1
LCM(3861,6421) = ( 3861 × 6421 ) / 1
LCM(3861,6421) = 24791481 / 1
LCM(3861,6421) = 24791481
Lets's calculate GCF of 772,9037
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24791481/1
Therefore the LCM of Fractions 3861/772,6421/9037 is 24791481
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Factors of 9037
List of positive integer factors of 9037 that divides 9037 without a remainder.
1,7,1291,9037
Greatest Common Factor
We found the factors 772,9037 . The biggest common factor number is the GCF number.
So the greatest common factor 772,9037 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 3861/772, 6421/9037?
Answer: LCM of Numerators as per given numbers 3861/772, 6421/9037 is
LCM of Numerators i.e. for 3861,6421 is 24791481
GCF of denominators i.e. for 772,9037 is 1.
Thus, LCM of Fractions is 24791481.Finally, LCM of Fractions for 3861/772, 6421/9037 is 24791481.