Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/95, 78/31, 27/65, 27/711 quickly i.e. 2106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/95, 78/31, 27/65, 27/711 is 2106.
LCM(81/95, 78/31, 27/65, 27/711) = 2106
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/95,78/31,27/65,27/711
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 81,78,27,27
Least Common Multiple of Numerators i.e. LCM of 81,78,27,27 is 2106.
GCF of Denominators means GCF of 95,31,65,711 as per the given fractions.
GCF of 95,31,65,711 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,78,27,27
3 | 81, 78, 27, 27 |
3 | 27, 26, 9, 9 |
3 | 3, 26, 3, 9 |
1, 26, 1, 3 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 26 x 1 x 3 = 2106
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 81,78,27,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,78,27,27) = 3
common factors(in case of two or more numbers have common factors) = 729
GCF(81,78,27,27) x common factors =3 x 729 = 2187
LCM(81,78,27,27) = ( 81 × 78 × 27 × 27 ) / 2187
LCM(81,78,27,27) = 4605822 / 2187
LCM(81,78,27,27) = 2106
Lets's calculate GCF of 95,31,65,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2106/1
Therefore the LCM of Fractions 81/95,78/31,27/65,27/711 is 2106
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Greatest Common Factor
We found the factors 95,31,65,711 . The biggest common factor number is the GCF number.
So the greatest common factor 95,31,65,711 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 81/95, 78/31, 27/65, 27/711?
Answer: LCM of Numerators as per given numbers 81/95, 78/31, 27/65, 27/711 is
LCM of Numerators i.e. for 81,78,27,27 is 2106
GCF of denominators i.e. for 95,31,65,711 is 1.
Thus, LCM of Fractions is 2106.Finally, LCM of Fractions for 81/95, 78/31, 27/65, 27/711 is 2106.