Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/81, 198/71, 774/123 quickly i.e. 25542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/81, 198/71, 774/123 is 25542.
LCM(54/81, 198/71, 774/123) = 25542
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/81,198/71,774/123
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 54,198,774
Least Common Multiple of Numerators i.e. LCM of 54,198,774 is 25542.
GCF of Denominators means GCF of 81,71,123 as per the given fractions.
GCF of 81,71,123 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,198,774
2 | 54, 198, 774 |
3 | 27, 99, 387 |
3 | 9, 33, 129 |
3, 11, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 11 x 43 = 25542
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 54,198,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,198,774) = 18
common factors(in case of two or more numbers have common factors) = 18
GCF(54,198,774) x common factors =18 x 18 = 324
LCM(54,198,774) = ( 54 × 198 × 774 ) / 324
LCM(54,198,774) = 8275608 / 324
LCM(54,198,774) = 25542
Lets's calculate GCF of 81,71,123
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25542/1
Therefore the LCM of Fractions 54/81,198/71,774/123 is 25542
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 81,71,123 . The biggest common factor number is the GCF number.
So the greatest common factor 81,71,123 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 54/81, 198/71, 774/123?
Answer: LCM of Numerators as per given numbers 54/81, 198/71, 774/123 is
LCM of Numerators i.e. for 54,198,774 is 25542
GCF of denominators i.e. for 81,71,123 is 1.
Thus, LCM of Fractions is 25542.Finally, LCM of Fractions for 54/81, 198/71, 774/123 is 25542.