Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/108, 51/198, 415/275 quickly i.e. 571455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/108, 51/198, 415/275 is 571455.
LCM(81/108, 51/198, 415/275) = 571455
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/108,51/198,415/275
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 81,51,415
Least Common Multiple of Numerators i.e. LCM of 81,51,415 is 571455.
GCF of Denominators means GCF of 108,198,275 as per the given fractions.
GCF of 108,198,275 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,51,415
3 | 81, 51, 415 |
27, 17, 415 |
∴ So the LCM of the given numbers is 3 x 27 x 17 x 415 = 571455
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 81,51,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,51,415) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(81,51,415) x common factors =1 x 3 = 3
LCM(81,51,415) = ( 81 × 51 × 415 ) / 3
LCM(81,51,415) = 1714365 / 3
LCM(81,51,415) = 571455
Lets's calculate GCF of 108,198,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 571455/1
Therefore the LCM of Fractions 81/108,51/198,415/275 is 571455
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors 108,198,275 . The biggest common factor number is the GCF number.
So the greatest common factor 108,198,275 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 81/108, 51/198, 415/275?
Answer: LCM of Numerators as per given numbers 81/108, 51/198, 415/275 is
LCM of Numerators i.e. for 81,51,415 is 571455
GCF of denominators i.e. for 108,198,275 is 1.
Thus, LCM of Fractions is 571455.Finally, LCM of Fractions for 81/108, 51/198, 415/275 is 571455.