Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 393/50, 157/31, 305/797 quickly i.e. 18818805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 393/50, 157/31, 305/797 is 18818805.
LCM(393/50, 157/31, 305/797) = 18818805
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 393/50,157/31,305/797
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 393,157,305
Least Common Multiple of Numerators i.e. LCM of 393,157,305 is 18818805.
GCF of Denominators means GCF of 50,31,797 as per the given fractions.
GCF of 50,31,797 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 393,157,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 18818805
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 393,157,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,157,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(393,157,305) x common factors =1 x 1 = 1
LCM(393,157,305) = ( 393 × 157 × 305 ) / 1
LCM(393,157,305) = 18818805 / 1
LCM(393,157,305) = 18818805
Lets's calculate GCF of 50,31,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18818805/1
Therefore the LCM of Fractions 393/50,157/31,305/797 is 18818805
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Greatest Common Factor
We found the factors 50,31,797 . The biggest common factor number is the GCF number.
So the greatest common factor 50,31,797 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 393/50, 157/31, 305/797?
Answer: LCM of Numerators as per given numbers 393/50, 157/31, 305/797 is
LCM of Numerators i.e. for 393,157,305 is 18818805
GCF of denominators i.e. for 50,31,797 is 1.
Thus, LCM of Fractions is 18818805.Finally, LCM of Fractions for 393/50, 157/31, 305/797 is 18818805.