Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6655/410, 8824/3083 quickly i.e. 58723720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6655/410, 8824/3083 is 58723720.
LCM(6655/410, 8824/3083) = 58723720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6655/410,8824/3083
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 6655,8824
Least Common Multiple of Numerators i.e. LCM of 6655,8824 is 58723720.
GCF of Denominators means GCF of 410,3083 as per the given fractions.
GCF of 410,3083 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6655,8824
Given numbers has no common factors except 1. So, there LCM is their product i.e 58723720
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 6655,8824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6655,8824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6655,8824) x common factors =1 x 1 = 1
LCM(6655,8824) = ( 6655 × 8824 ) / 1
LCM(6655,8824) = 58723720 / 1
LCM(6655,8824) = 58723720
Lets's calculate GCF of 410,3083
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58723720/1
Therefore the LCM of Fractions 6655/410,8824/3083 is 58723720
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Factors of 3083
List of positive integer factors of 3083 that divides 3083 without a remainder.
1,3083
Greatest Common Factor
We found the factors 410,3083 . The biggest common factor number is the GCF number.
So the greatest common factor 410,3083 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 6655/410, 8824/3083?
Answer: LCM of Numerators as per given numbers 6655/410, 8824/3083 is
LCM of Numerators i.e. for 6655,8824 is 58723720
GCF of denominators i.e. for 410,3083 is 1.
Thus, LCM of Fractions is 58723720.Finally, LCM of Fractions for 6655/410, 8824/3083 is 58723720.