Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 165/81, 589/7572 quickly i.e. 32395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 165/81, 589/7572 is 32395.
LCM(165/81, 589/7572) = 32395
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 165/81,589/7572
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 165,589
Least Common Multiple of Numerators i.e. LCM of 165,589 is 97185.
GCF of Denominators means GCF of 81,7572 as per the given fractions.
GCF of 81,7572 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 165,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 97185
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 165,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,589) x common factors =1 x 1 = 1
LCM(165,589) = ( 165 × 589 ) / 1
LCM(165,589) = 97185 / 1
LCM(165,589) = 97185
Lets's calculate GCF of 81,7572
3 | 81, 7572 |
27, 2524 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97185/3
Therefore the LCM of Fractions 165/81,589/7572 is 32395
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 7572
List of positive integer factors of 7572 that divides 7572 without a remainder.
1,2,3,4,6,12,631,1262,1893,2524,3786,7572
Greatest Common Factor
We found the factors 81,7572 . The biggest common factor number is the GCF number.
So the greatest common factor 81,7572 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 165/81, 589/7572?
Answer: LCM of Numerators as per given numbers 165/81, 589/7572 is
LCM of Numerators i.e. for 165,589 is 97185
GCF of denominators i.e. for 81,7572 is 3.
Thus, LCM of Fractions is 32395.Finally, LCM of Fractions for 165/81, 589/7572 is 32395.