Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3041/241, 8345/395 quickly i.e. 25377145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3041/241, 8345/395 is 25377145.
LCM(3041/241, 8345/395) = 25377145
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3041/241,8345/395
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 3041,8345
Least Common Multiple of Numerators i.e. LCM of 3041,8345 is 25377145.
GCF of Denominators means GCF of 241,395 as per the given fractions.
GCF of 241,395 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3041,8345
Given numbers has no common factors except 1. So, there LCM is their product i.e 25377145
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 3041,8345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3041,8345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3041,8345) x common factors =1 x 1 = 1
LCM(3041,8345) = ( 3041 × 8345 ) / 1
LCM(3041,8345) = 25377145 / 1
LCM(3041,8345) = 25377145
Lets's calculate GCF of 241,395
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25377145/1
Therefore the LCM of Fractions 3041/241,8345/395 is 25377145
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Greatest Common Factor
We found the factors 241,395 . The biggest common factor number is the GCF number.
So the greatest common factor 241,395 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 3041/241, 8345/395?
Answer: LCM of Numerators as per given numbers 3041/241, 8345/395 is
LCM of Numerators i.e. for 3041,8345 is 25377145
GCF of denominators i.e. for 241,395 is 1.
Thus, LCM of Fractions is 25377145.Finally, LCM of Fractions for 3041/241, 8345/395 is 25377145.