Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 481/673, 3107/317 quickly i.e. 114959 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 481/673, 3107/317 is 114959.
LCM(481/673, 3107/317) = 114959
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 481/673,3107/317
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 481,3107
Least Common Multiple of Numerators i.e. LCM of 481,3107 is 114959.
GCF of Denominators means GCF of 673,317 as per the given fractions.
GCF of 673,317 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 481,3107
13 | 481, 3107 |
37, 239 |
∴ So the LCM of the given numbers is 13 x 37 x 239 = 114959
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 481,3107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,3107) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(481,3107) x common factors =13 x 1 = 13
LCM(481,3107) = ( 481 × 3107 ) / 13
LCM(481,3107) = 1494467 / 13
LCM(481,3107) = 114959
Lets's calculate GCF of 673,317
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114959/1
Therefore the LCM of Fractions 481/673,3107/317 is 114959
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Greatest Common Factor
We found the factors 673,317 . The biggest common factor number is the GCF number.
So the greatest common factor 673,317 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 481/673, 3107/317?
Answer: LCM of Numerators as per given numbers 481/673, 3107/317 is
LCM of Numerators i.e. for 481,3107 is 114959
GCF of denominators i.e. for 673,317 is 1.
Thus, LCM of Fractions is 114959.Finally, LCM of Fractions for 481/673, 3107/317 is 114959.