Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 303/80, 121/68, 397/57 quickly i.e. 14555211 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 303/80, 121/68, 397/57 is 14555211.
LCM(303/80, 121/68, 397/57) = 14555211
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 303/80,121/68,397/57
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 303,121,397
Least Common Multiple of Numerators i.e. LCM of 303,121,397 is 14555211.
GCF of Denominators means GCF of 80,68,57 as per the given fractions.
GCF of 80,68,57 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 303,121,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 14555211
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 303,121,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,121,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,121,397) x common factors =1 x 1 = 1
LCM(303,121,397) = ( 303 × 121 × 397 ) / 1
LCM(303,121,397) = 14555211 / 1
LCM(303,121,397) = 14555211
Lets's calculate GCF of 80,68,57
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14555211/1
Therefore the LCM of Fractions 303/80,121/68,397/57 is 14555211
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Greatest Common Factor
We found the factors 80,68,57 . The biggest common factor number is the GCF number.
So the greatest common factor 80,68,57 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 303/80, 121/68, 397/57?
Answer: LCM of Numerators as per given numbers 303/80, 121/68, 397/57 is
LCM of Numerators i.e. for 303,121,397 is 14555211
GCF of denominators i.e. for 80,68,57 is 1.
Thus, LCM of Fractions is 14555211.Finally, LCM of Fractions for 303/80, 121/68, 397/57 is 14555211.