Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9311/403, 9358/329 quickly i.e. 87132338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9311/403, 9358/329 is 87132338.
LCM(9311/403, 9358/329) = 87132338
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9311/403,9358/329
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 9311,9358
Least Common Multiple of Numerators i.e. LCM of 9311,9358 is 87132338.
GCF of Denominators means GCF of 403,329 as per the given fractions.
GCF of 403,329 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9311,9358
Given numbers has no common factors except 1. So, there LCM is their product i.e 87132338
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 9311,9358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9311,9358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9311,9358) x common factors =1 x 1 = 1
LCM(9311,9358) = ( 9311 × 9358 ) / 1
LCM(9311,9358) = 87132338 / 1
LCM(9311,9358) = 87132338
Lets's calculate GCF of 403,329
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87132338/1
Therefore the LCM of Fractions 9311/403,9358/329 is 87132338
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Greatest Common Factor
We found the factors 403,329 . The biggest common factor number is the GCF number.
So the greatest common factor 403,329 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 9311/403, 9358/329?
Answer: LCM of Numerators as per given numbers 9311/403, 9358/329 is
LCM of Numerators i.e. for 9311,9358 is 87132338
GCF of denominators i.e. for 403,329 is 1.
Thus, LCM of Fractions is 87132338.Finally, LCM of Fractions for 9311/403, 9358/329 is 87132338.