Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 317/16, 189/25, 801/931 quickly i.e. 5332257 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 317/16, 189/25, 801/931 is 5332257.
LCM(317/16, 189/25, 801/931) = 5332257
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 317/16,189/25,801/931
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 317,189,801
Least Common Multiple of Numerators i.e. LCM of 317,189,801 is 5332257.
GCF of Denominators means GCF of 16,25,931 as per the given fractions.
GCF of 16,25,931 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 317,189,801
3 | 317, 189, 801 |
3 | 317, 63, 267 |
317, 21, 89 |
∴ So the LCM of the given numbers is 3 x 3 x 317 x 21 x 89 = 5332257
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 317,189,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,189,801) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(317,189,801) x common factors =1 x 9 = 9
LCM(317,189,801) = ( 317 × 189 × 801 ) / 9
LCM(317,189,801) = 47990313 / 9
LCM(317,189,801) = 5332257
Lets's calculate GCF of 16,25,931
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5332257/1
Therefore the LCM of Fractions 317/16,189/25,801/931 is 5332257
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Greatest Common Factor
We found the factors 16,25,931 . The biggest common factor number is the GCF number.
So the greatest common factor 16,25,931 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 317/16, 189/25, 801/931?
Answer: LCM of Numerators as per given numbers 317/16, 189/25, 801/931 is
LCM of Numerators i.e. for 317,189,801 is 5332257
GCF of denominators i.e. for 16,25,931 is 1.
Thus, LCM of Fractions is 5332257.Finally, LCM of Fractions for 317/16, 189/25, 801/931 is 5332257.