Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/328, 9401/9401 quickly i.e. 235025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/328, 9401/9401 is 235025.
LCM(25/328, 9401/9401) = 235025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/328,9401/9401
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 25,9401
Least Common Multiple of Numerators i.e. LCM of 25,9401 is 235025.
GCF of Denominators means GCF of 328,9401 as per the given fractions.
GCF of 328,9401 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,9401
Given numbers has no common factors except 1. So, there LCM is their product i.e 235025
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 25,9401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,9401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,9401) x common factors =1 x 1 = 1
LCM(25,9401) = ( 25 × 9401 ) / 1
LCM(25,9401) = 235025 / 1
LCM(25,9401) = 235025
Lets's calculate GCF of 328,9401
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235025/1
Therefore the LCM of Fractions 25/328,9401/9401 is 235025
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 9401
List of positive integer factors of 9401 that divides 9401 without a remainder.
1,7,17,79,119,553,1343,9401
Greatest Common Factor
We found the factors 328,9401 . The biggest common factor number is the GCF number.
So the greatest common factor 328,9401 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 25/328, 9401/9401?
Answer: LCM of Numerators as per given numbers 25/328, 9401/9401 is
LCM of Numerators i.e. for 25,9401 is 235025
GCF of denominators i.e. for 328,9401 is 1.
Thus, LCM of Fractions is 235025.Finally, LCM of Fractions for 25/328, 9401/9401 is 235025.