Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7113/378, 9414/314 quickly i.e. 11160297 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7113/378, 9414/314 is 11160297.
LCM(7113/378, 9414/314) = 11160297
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7113/378,9414/314
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 7113,9414
Least Common Multiple of Numerators i.e. LCM of 7113,9414 is 22320594.
GCF of Denominators means GCF of 378,314 as per the given fractions.
GCF of 378,314 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7113,9414
3 | 7113, 9414 |
2371, 3138 |
∴ So the LCM of the given numbers is 3 x 2371 x 3138 = 22320594
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 7113,9414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7113,9414) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7113,9414) x common factors =3 x 1 = 3
LCM(7113,9414) = ( 7113 × 9414 ) / 3
LCM(7113,9414) = 66961782 / 3
LCM(7113,9414) = 22320594
Lets's calculate GCF of 378,314
2 | 378, 314 |
189, 157 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22320594/2
Therefore the LCM of Fractions 7113/378,9414/314 is 11160297
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 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Greatest Common Factor
We found the factors 378,314 . The biggest common factor number is the GCF number.
So the greatest common factor 378,314 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 7113/378, 9414/314?
Answer: LCM of Numerators as per given numbers 7113/378, 9414/314 is
LCM of Numerators i.e. for 7113,9414 is 22320594
GCF of denominators i.e. for 378,314 is 2.
Thus, LCM of Fractions is 11160297.Finally, LCM of Fractions for 7113/378, 9414/314 is 11160297.