Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/81, 42/56, 591/83 quickly i.e. 256494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/81, 42/56, 591/83 is 256494.
LCM(31/81, 42/56, 591/83) = 256494
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/81,42/56,591/83
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 31,42,591
Least Common Multiple of Numerators i.e. LCM of 31,42,591 is 256494.
GCF of Denominators means GCF of 81,56,83 as per the given fractions.
GCF of 81,56,83 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,42,591
3 | 31, 42, 591 |
31, 14, 197 |
∴ So the LCM of the given numbers is 3 x 31 x 14 x 197 = 256494
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 31,42,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,42,591) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(31,42,591) x common factors =1 x 3 = 3
LCM(31,42,591) = ( 31 × 42 × 591 ) / 3
LCM(31,42,591) = 769482 / 3
LCM(31,42,591) = 256494
Lets's calculate GCF of 81,56,83
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256494/1
Therefore the LCM of Fractions 31/81,42/56,591/83 is 256494
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Greatest Common Factor
We found the factors 81,56,83 . The biggest common factor number is the GCF number.
So the greatest common factor 81,56,83 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 31/81, 42/56, 591/83?
Answer: LCM of Numerators as per given numbers 31/81, 42/56, 591/83 is
LCM of Numerators i.e. for 31,42,591 is 256494
GCF of denominators i.e. for 81,56,83 is 1.
Thus, LCM of Fractions is 256494.Finally, LCM of Fractions for 31/81, 42/56, 591/83 is 256494.