Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/81, 26/39, 67/90, 36/72 quickly i.e. 83616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/81, 26/39, 67/90, 36/72 is 83616.
LCM(32/81, 26/39, 67/90, 36/72) = 83616
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/81,26/39,67/90,36/72
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 32,26,67,36
Least Common Multiple of Numerators i.e. LCM of 32,26,67,36 is 250848.
GCF of Denominators means GCF of 81,39,90,72 as per the given fractions.
GCF of 81,39,90,72 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,26,67,36
2 | 32, 26, 67, 36 |
2 | 16, 13, 67, 18 |
8, 13, 67, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 13 x 67 x 9 = 250848
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 32,26,67,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,26,67,36) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(32,26,67,36) x common factors =1 x 8 = 8
LCM(32,26,67,36) = ( 32 × 26 × 67 × 36 ) / 8
LCM(32,26,67,36) = 2006784 / 8
LCM(32,26,67,36) = 250848
Lets's calculate GCF of 81,39,90,72
3 | 81, 39, 90, 72 |
27, 13, 30, 24 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250848/3
Therefore the LCM of Fractions 32/81,26/39,67/90,36/72 is 83616
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Greatest Common Factor
We found the factors 81,39,90,72 . The biggest common factor number is the GCF number.
So the greatest common factor 81,39,90,72 is 3.
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 32/81, 26/39, 67/90, 36/72?
Answer: LCM of Numerators as per given numbers 32/81, 26/39, 67/90, 36/72 is
LCM of Numerators i.e. for 32,26,67,36 is 250848
GCF of denominators i.e. for 81,39,90,72 is 3.
Thus, LCM of Fractions is 83616.Finally, LCM of Fractions for 32/81, 26/39, 67/90, 36/72 is 83616.