Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/95, 216/39, 286/184 quickly i.e. 30888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/95, 216/39, 286/184 is 30888.
LCM(27/95, 216/39, 286/184) = 30888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/95,216/39,286/184
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 27,216,286
Least Common Multiple of Numerators i.e. LCM of 27,216,286 is 30888.
GCF of Denominators means GCF of 95,39,184 as per the given fractions.
GCF of 95,39,184 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,216,286
2 | 27, 216, 286 |
3 | 27, 108, 143 |
3 | 9, 36, 143 |
3 | 3, 12, 143 |
1, 4, 143 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 4 x 143 = 30888
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 27,216,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,216,286) = 1
common factors(in case of two or more numbers have common factors) = 54
GCF(27,216,286) x common factors =1 x 54 = 54
LCM(27,216,286) = ( 27 × 216 × 286 ) / 54
LCM(27,216,286) = 1667952 / 54
LCM(27,216,286) = 30888
Lets's calculate GCF of 95,39,184
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30888/1
Therefore the LCM of Fractions 27/95,216/39,286/184 is 30888
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 95,39,184 . The biggest common factor number is the GCF number.
So the greatest common factor 95,39,184 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 27/95, 216/39, 286/184?
Answer: LCM of Numerators as per given numbers 27/95, 216/39, 286/184 is
LCM of Numerators i.e. for 27,216,286 is 30888
GCF of denominators i.e. for 95,39,184 is 1.
Thus, LCM of Fractions is 30888.Finally, LCM of Fractions for 27/95, 216/39, 286/184 is 30888.