Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 272/481, 903/377 quickly i.e. 245616/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 272/481, 903/377 is 245616/13.
LCM(272/481, 903/377) = 245616/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 272/481,903/377
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 272,903
Least Common Multiple of Numerators i.e. LCM of 272,903 is 245616.
GCF of Denominators means GCF of 481,377 as per the given fractions.
GCF of 481,377 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 272,903
Given numbers has no common factors except 1. So, there LCM is their product i.e 245616
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 272,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(272,903) x common factors =1 x 1 = 1
LCM(272,903) = ( 272 × 903 ) / 1
LCM(272,903) = 245616 / 1
LCM(272,903) = 245616
Lets's calculate GCF of 481,377
13 | 481, 377 |
37, 29 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245616/13
Therefore the LCM of Fractions 272/481,903/377 is 245616/13
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Greatest Common Factor
We found the factors 481,377 . The biggest common factor number is the GCF number.
So the greatest common factor 481,377 is 13.
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 272/481, 903/377?
Answer: LCM of Numerators as per given numbers 272/481, 903/377 is
LCM of Numerators i.e. for 272,903 is 245616
GCF of denominators i.e. for 481,377 is 13.
Thus, LCM of Fractions is 245616/13.Finally, LCM of Fractions for 272/481, 903/377 is 245616/13.