Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9414/940, 1223/3019 quickly i.e. 11513322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9414/940, 1223/3019 is 11513322.
LCM(9414/940, 1223/3019) = 11513322
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9414/940,1223/3019
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 9414,1223
Least Common Multiple of Numerators i.e. LCM of 9414,1223 is 11513322.
GCF of Denominators means GCF of 940,3019 as per the given fractions.
GCF of 940,3019 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9414,1223
Given numbers has no common factors except 1. So, there LCM is their product i.e 11513322
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 9414,1223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9414,1223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9414,1223) x common factors =1 x 1 = 1
LCM(9414,1223) = ( 9414 × 1223 ) / 1
LCM(9414,1223) = 11513322 / 1
LCM(9414,1223) = 11513322
Lets's calculate GCF of 940,3019
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11513322/1
Therefore the LCM of Fractions 9414/940,1223/3019 is 11513322
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 3019
List of positive integer factors of 3019 that divides 3019 without a remainder.
1,3019
Greatest Common Factor
We found the factors 940,3019 . The biggest common factor number is the GCF number.
So the greatest common factor 940,3019 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 9414/940, 1223/3019?
Answer: LCM of Numerators as per given numbers 9414/940, 1223/3019 is
LCM of Numerators i.e. for 9414,1223 is 11513322
GCF of denominators i.e. for 940,3019 is 1.
Thus, LCM of Fractions is 11513322.Finally, LCM of Fractions for 9414/940, 1223/3019 is 11513322.