Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/81, 59/66, 86/79, 22/587 quickly i.e. 2232560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/81, 59/66, 86/79, 22/587 is 2232560.
LCM(80/81, 59/66, 86/79, 22/587) = 2232560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/81,59/66,86/79,22/587
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 80,59,86,22
Least Common Multiple of Numerators i.e. LCM of 80,59,86,22 is 2232560.
GCF of Denominators means GCF of 81,66,79,587 as per the given fractions.
GCF of 81,66,79,587 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,59,86,22
2 | 80, 59, 86, 22 |
40, 59, 43, 11 |
∴ So the LCM of the given numbers is 2 x 40 x 59 x 43 x 11 = 2232560
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 80,59,86,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,59,86,22) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(80,59,86,22) x common factors =1 x 4 = 4
LCM(80,59,86,22) = ( 80 × 59 × 86 × 22 ) / 4
LCM(80,59,86,22) = 8930240 / 4
LCM(80,59,86,22) = 2232560
Lets's calculate GCF of 81,66,79,587
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2232560/1
Therefore the LCM of Fractions 80/81,59/66,86/79,22/587 is 2232560
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Greatest Common Factor
We found the factors 81,66,79,587 . The biggest common factor number is the GCF number.
So the greatest common factor 81,66,79,587 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 80/81, 59/66, 86/79, 22/587?
Answer: LCM of Numerators as per given numbers 80/81, 59/66, 86/79, 22/587 is
LCM of Numerators i.e. for 80,59,86,22 is 2232560
GCF of denominators i.e. for 81,66,79,587 is 1.
Thus, LCM of Fractions is 2232560.Finally, LCM of Fractions for 80/81, 59/66, 86/79, 22/587 is 2232560.