Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/353, 9601/2259 quickly i.e. 393641 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/353, 9601/2259 is 393641.
LCM(41/353, 9601/2259) = 393641
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/353,9601/2259
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 41,9601
Least Common Multiple of Numerators i.e. LCM of 41,9601 is 393641.
GCF of Denominators means GCF of 353,2259 as per the given fractions.
GCF of 353,2259 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,9601
Given numbers has no common factors except 1. So, there LCM is their product i.e 393641
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 41,9601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,9601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,9601) x common factors =1 x 1 = 1
LCM(41,9601) = ( 41 × 9601 ) / 1
LCM(41,9601) = 393641 / 1
LCM(41,9601) = 393641
Lets's calculate GCF of 353,2259
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393641/1
Therefore the LCM of Fractions 41/353,9601/2259 is 393641
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Factors of 2259
List of positive integer factors of 2259 that divides 2259 without a remainder.
1,3,9,251,753,2259
Greatest Common Factor
We found the factors 353,2259 . The biggest common factor number is the GCF number.
So the greatest common factor 353,2259 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 41/353, 9601/2259?
Answer: LCM of Numerators as per given numbers 41/353, 9601/2259 is
LCM of Numerators i.e. for 41,9601 is 393641
GCF of denominators i.e. for 353,2259 is 1.
Thus, LCM of Fractions is 393641.Finally, LCM of Fractions for 41/353, 9601/2259 is 393641.