Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 323/29, 398/3144 quickly i.e. 128554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 323/29, 398/3144 is 128554.
LCM(323/29, 398/3144) = 128554
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 323/29,398/3144
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 323,398
Least Common Multiple of Numerators i.e. LCM of 323,398 is 128554.
GCF of Denominators means GCF of 29,3144 as per the given fractions.
GCF of 29,3144 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 323,398
Given numbers has no common factors except 1. So, there LCM is their product i.e 128554
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 323,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,398) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,398) x common factors =1 x 1 = 1
LCM(323,398) = ( 323 × 398 ) / 1
LCM(323,398) = 128554 / 1
LCM(323,398) = 128554
Lets's calculate GCF of 29,3144
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128554/1
Therefore the LCM of Fractions 323/29,398/3144 is 128554
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 3144
List of positive integer factors of 3144 that divides 3144 without a remainder.
1,2,3,4,6,8,12,24,131,262,393,524,786,1048,1572,3144
Greatest Common Factor
We found the factors 29,3144 . The biggest common factor number is the GCF number.
So the greatest common factor 29,3144 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 323/29, 398/3144?
Answer: LCM of Numerators as per given numbers 323/29, 398/3144 is
LCM of Numerators i.e. for 323,398 is 128554
GCF of denominators i.e. for 29,3144 is 1.
Thus, LCM of Fractions is 128554.Finally, LCM of Fractions for 323/29, 398/3144 is 128554.