Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 303/346, 3122/831 quickly i.e. 945966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 303/346, 3122/831 is 945966.
LCM(303/346, 3122/831) = 945966
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 303/346,3122/831
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 303,3122
Least Common Multiple of Numerators i.e. LCM of 303,3122 is 945966.
GCF of Denominators means GCF of 346,831 as per the given fractions.
GCF of 346,831 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 303,3122
Given numbers has no common factors except 1. So, there LCM is their product i.e 945966
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 303,3122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,3122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,3122) x common factors =1 x 1 = 1
LCM(303,3122) = ( 303 × 3122 ) / 1
LCM(303,3122) = 945966 / 1
LCM(303,3122) = 945966
Lets's calculate GCF of 346,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 945966/1
Therefore the LCM of Fractions 303/346,3122/831 is 945966
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Greatest Common Factor
We found the factors 346,831 . The biggest common factor number is the GCF number.
So the greatest common factor 346,831 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 303/346, 3122/831?
Answer: LCM of Numerators as per given numbers 303/346, 3122/831 is
LCM of Numerators i.e. for 303,3122 is 945966
GCF of denominators i.e. for 346,831 is 1.
Thus, LCM of Fractions is 945966.Finally, LCM of Fractions for 303/346, 3122/831 is 945966.