Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6593/443, 9623/3677 quickly i.e. 63444439 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6593/443, 9623/3677 is 63444439.
LCM(6593/443, 9623/3677) = 63444439
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6593/443,9623/3677
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 6593,9623
Least Common Multiple of Numerators i.e. LCM of 6593,9623 is 63444439.
GCF of Denominators means GCF of 443,3677 as per the given fractions.
GCF of 443,3677 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6593,9623
Given numbers has no common factors except 1. So, there LCM is their product i.e 63444439
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 6593,9623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6593,9623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6593,9623) x common factors =1 x 1 = 1
LCM(6593,9623) = ( 6593 × 9623 ) / 1
LCM(6593,9623) = 63444439 / 1
LCM(6593,9623) = 63444439
Lets's calculate GCF of 443,3677
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63444439/1
Therefore the LCM of Fractions 6593/443,9623/3677 is 63444439
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Factors of 3677
List of positive integer factors of 3677 that divides 3677 without a remainder.
1,3677
Greatest Common Factor
We found the factors 443,3677 . The biggest common factor number is the GCF number.
So the greatest common factor 443,3677 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 6593/443, 9623/3677?
Answer: LCM of Numerators as per given numbers 6593/443, 9623/3677 is
LCM of Numerators i.e. for 6593,9623 is 63444439
GCF of denominators i.e. for 443,3677 is 1.
Thus, LCM of Fractions is 63444439.Finally, LCM of Fractions for 6593/443, 9623/3677 is 63444439.