Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/260, 7031/8339 quickly i.e. 232023 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/260, 7031/8339 is 232023.
LCM(33/260, 7031/8339) = 232023
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/260,7031/8339
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 33,7031
Least Common Multiple of Numerators i.e. LCM of 33,7031 is 232023.
GCF of Denominators means GCF of 260,8339 as per the given fractions.
GCF of 260,8339 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,7031
Given numbers has no common factors except 1. So, there LCM is their product i.e 232023
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 33,7031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,7031) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,7031) x common factors =1 x 1 = 1
LCM(33,7031) = ( 33 × 7031 ) / 1
LCM(33,7031) = 232023 / 1
LCM(33,7031) = 232023
Lets's calculate GCF of 260,8339
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232023/1
Therefore the LCM of Fractions 33/260,7031/8339 is 232023
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Factors of 8339
List of positive integer factors of 8339 that divides 8339 without a remainder.
1,31,269,8339
Greatest Common Factor
We found the factors 260,8339 . The biggest common factor number is the GCF number.
So the greatest common factor 260,8339 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 33/260, 7031/8339?
Answer: LCM of Numerators as per given numbers 33/260, 7031/8339 is
LCM of Numerators i.e. for 33,7031 is 232023
GCF of denominators i.e. for 260,8339 is 1.
Thus, LCM of Fractions is 232023.Finally, LCM of Fractions for 33/260, 7031/8339 is 232023.