Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 189/317, 8912/1337 quickly i.e. 1684368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 189/317, 8912/1337 is 1684368.
LCM(189/317, 8912/1337) = 1684368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 189/317,8912/1337
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 189,8912
Least Common Multiple of Numerators i.e. LCM of 189,8912 is 1684368.
GCF of Denominators means GCF of 317,1337 as per the given fractions.
GCF of 317,1337 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 189,8912
Given numbers has no common factors except 1. So, there LCM is their product i.e 1684368
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 189,8912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,8912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,8912) x common factors =1 x 1 = 1
LCM(189,8912) = ( 189 × 8912 ) / 1
LCM(189,8912) = 1684368 / 1
LCM(189,8912) = 1684368
Lets's calculate GCF of 317,1337
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1684368/1
Therefore the LCM of Fractions 189/317,8912/1337 is 1684368
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Factors of 1337
List of positive integer factors of 1337 that divides 1337 without a remainder.
1,7,191,1337
Greatest Common Factor
We found the factors 317,1337 . The biggest common factor number is the GCF number.
So the greatest common factor 317,1337 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 189/317, 8912/1337?
Answer: LCM of Numerators as per given numbers 189/317, 8912/1337 is
LCM of Numerators i.e. for 189,8912 is 1684368
GCF of denominators i.e. for 317,1337 is 1.
Thus, LCM of Fractions is 1684368.Finally, LCM of Fractions for 189/317, 8912/1337 is 1684368.