Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/373, 171/973, 366/198 quickly i.e. 104310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/373, 171/973, 366/198 is 104310.
LCM(15/373, 171/973, 366/198) = 104310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/373,171/973,366/198
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 15,171,366
Least Common Multiple of Numerators i.e. LCM of 15,171,366 is 104310.
GCF of Denominators means GCF of 373,973,198 as per the given fractions.
GCF of 373,973,198 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,171,366
3 | 15, 171, 366 |
5, 57, 122 |
∴ So the LCM of the given numbers is 3 x 5 x 57 x 122 = 104310
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 15,171,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,171,366) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(15,171,366) x common factors =3 x 3 = 9
LCM(15,171,366) = ( 15 × 171 × 366 ) / 9
LCM(15,171,366) = 938790 / 9
LCM(15,171,366) = 104310
Lets's calculate GCF of 373,973,198
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104310/1
Therefore the LCM of Fractions 15/373,171/973,366/198 is 104310
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
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
Greatest Common Factor
We found the factors 373,973,198 . The biggest common factor number is the GCF number.
So the greatest common factor 373,973,198 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 15/373, 171/973, 366/198?
Answer: LCM of Numerators as per given numbers 15/373, 171/973, 366/198 is
LCM of Numerators i.e. for 15,171,366 is 104310
GCF of denominators i.e. for 373,973,198 is 1.
Thus, LCM of Fractions is 104310.Finally, LCM of Fractions for 15/373, 171/973, 366/198 is 104310.