Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/45, 450/41, 165/671 quickly i.e. 44550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/45, 450/41, 165/671 is 44550.
LCM(81/45, 450/41, 165/671) = 44550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/45,450/41,165/671
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 81,450,165
Least Common Multiple of Numerators i.e. LCM of 81,450,165 is 44550.
GCF of Denominators means GCF of 45,41,671 as per the given fractions.
GCF of 45,41,671 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,450,165
3 | 81, 450, 165 |
3 | 27, 150, 55 |
5 | 9, 50, 55 |
9, 10, 11 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 9 x 10 x 11 = 44550
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 81,450,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,450,165) = 3
common factors(in case of two or more numbers have common factors) = 45
GCF(81,450,165) x common factors =3 x 45 = 135
LCM(81,450,165) = ( 81 × 450 × 165 ) / 135
LCM(81,450,165) = 6014250 / 135
LCM(81,450,165) = 44550
Lets's calculate GCF of 45,41,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44550/1
Therefore the LCM of Fractions 81/45,450/41,165/671 is 44550
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Greatest Common Factor
We found the factors 45,41,671 . The biggest common factor number is the GCF number.
So the greatest common factor 45,41,671 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 81/45, 450/41, 165/671?
Answer: LCM of Numerators as per given numbers 81/45, 450/41, 165/671 is
LCM of Numerators i.e. for 81,450,165 is 44550
GCF of denominators i.e. for 45,41,671 is 1.
Thus, LCM of Fractions is 44550.Finally, LCM of Fractions for 81/45, 450/41, 165/671 is 44550.