Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9422/378, 3852/4328 quickly i.e. 9073386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9422/378, 3852/4328 is 9073386.
LCM(9422/378, 3852/4328) = 9073386
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9422/378,3852/4328
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 9422,3852
Least Common Multiple of Numerators i.e. LCM of 9422,3852 is 18146772.
GCF of Denominators means GCF of 378,4328 as per the given fractions.
GCF of 378,4328 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9422,3852
2 | 9422, 3852 |
4711, 1926 |
∴ So the LCM of the given numbers is 2 x 4711 x 1926 = 18146772
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 9422,3852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9422,3852) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9422,3852) x common factors =2 x 1 = 2
LCM(9422,3852) = ( 9422 × 3852 ) / 2
LCM(9422,3852) = 36293544 / 2
LCM(9422,3852) = 18146772
Lets's calculate GCF of 378,4328
2 | 378, 4328 |
189, 2164 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18146772/2
Therefore the LCM of Fractions 9422/378,3852/4328 is 9073386
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 4328
List of positive integer factors of 4328 that divides 4328 without a remainder.
1,2,4,8,541,1082,2164,4328
Greatest Common Factor
We found the factors 378,4328 . The biggest common factor number is the GCF number.
So the greatest common factor 378,4328 is 2.
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 9422/378, 3852/4328?
Answer: LCM of Numerators as per given numbers 9422/378, 3852/4328 is
LCM of Numerators i.e. for 9422,3852 is 18146772
GCF of denominators i.e. for 378,4328 is 2.
Thus, LCM of Fractions is 9073386.Finally, LCM of Fractions for 9422/378, 3852/4328 is 9073386.