Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 317/51, 600/73, 997/266 quickly i.e. 189629400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 317/51, 600/73, 997/266 is 189629400.
LCM(317/51, 600/73, 997/266) = 189629400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 317/51,600/73,997/266
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 317,600,997
Least Common Multiple of Numerators i.e. LCM of 317,600,997 is 189629400.
GCF of Denominators means GCF of 51,73,266 as per the given fractions.
GCF of 51,73,266 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 317,600,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 189629400
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 317,600,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,600,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,600,997) x common factors =1 x 1 = 1
LCM(317,600,997) = ( 317 × 600 × 997 ) / 1
LCM(317,600,997) = 189629400 / 1
LCM(317,600,997) = 189629400
Lets's calculate GCF of 51,73,266
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189629400/1
Therefore the LCM of Fractions 317/51,600/73,997/266 is 189629400
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 51,73,266 . The biggest common factor number is the GCF number.
So the greatest common factor 51,73,266 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 317/51, 600/73, 997/266?
Answer: LCM of Numerators as per given numbers 317/51, 600/73, 997/266 is
LCM of Numerators i.e. for 317,600,997 is 189629400
GCF of denominators i.e. for 51,73,266 is 1.
Thus, LCM of Fractions is 189629400.Finally, LCM of Fractions for 317/51, 600/73, 997/266 is 189629400.