Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/27, 31/81, 19/41, 85/383 quickly i.e. 4305590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/27, 31/81, 19/41, 85/383 is 4305590.
LCM(86/27, 31/81, 19/41, 85/383) = 4305590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/27,31/81,19/41,85/383
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 86,31,19,85
Least Common Multiple of Numerators i.e. LCM of 86,31,19,85 is 4305590.
GCF of Denominators means GCF of 27,81,41,383 as per the given fractions.
GCF of 27,81,41,383 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,31,19,85
Given numbers has no common factors except 1. So, there LCM is their product i.e 4305590
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 86,31,19,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,31,19,85) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,31,19,85) x common factors =1 x 1 = 1
LCM(86,31,19,85) = ( 86 × 31 × 19 × 85 ) / 1
LCM(86,31,19,85) = 4305590 / 1
LCM(86,31,19,85) = 4305590
Lets's calculate GCF of 27,81,41,383
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4305590/1
Therefore the LCM of Fractions 86/27,31/81,19/41,85/383 is 4305590
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 383
List of positive integer factors of 383 that divides 383 without a remainder.
1,383
Greatest Common Factor
We found the factors 27,81,41,383 . The biggest common factor number is the GCF number.
So the greatest common factor 27,81,41,383 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 86/27, 31/81, 19/41, 85/383?
Answer: LCM of Numerators as per given numbers 86/27, 31/81, 19/41, 85/383 is
LCM of Numerators i.e. for 86,31,19,85 is 4305590
GCF of denominators i.e. for 27,81,41,383 is 1.
Thus, LCM of Fractions is 4305590.Finally, LCM of Fractions for 86/27, 31/81, 19/41, 85/383 is 4305590.