Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/389, 2331/4811 quickly i.e. 4662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/389, 2331/4811 is 4662.
LCM(14/389, 2331/4811) = 4662
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/389,2331/4811
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 14,2331
Least Common Multiple of Numerators i.e. LCM of 14,2331 is 4662.
GCF of Denominators means GCF of 389,4811 as per the given fractions.
GCF of 389,4811 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,2331
7 | 14, 2331 |
2, 333 |
∴ So the LCM of the given numbers is 7 x 2 x 333 = 4662
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 14,2331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,2331) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(14,2331) x common factors =7 x 1 = 7
LCM(14,2331) = ( 14 × 2331 ) / 7
LCM(14,2331) = 32634 / 7
LCM(14,2331) = 4662
Lets's calculate GCF of 389,4811
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4662/1
Therefore the LCM of Fractions 14/389,2331/4811 is 4662
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 4811
List of positive integer factors of 4811 that divides 4811 without a remainder.
1,17,283,4811
Greatest Common Factor
We found the factors 389,4811 . The biggest common factor number is the GCF number.
So the greatest common factor 389,4811 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 14/389, 2331/4811?
Answer: LCM of Numerators as per given numbers 14/389, 2331/4811 is
LCM of Numerators i.e. for 14,2331 is 4662
GCF of denominators i.e. for 389,4811 is 1.
Thus, LCM of Fractions is 4662.Finally, LCM of Fractions for 14/389, 2331/4811 is 4662.