Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 128/134, 9394/6382 quickly i.e. 300608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 128/134, 9394/6382 is 300608.
LCM(128/134, 9394/6382) = 300608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 128/134,9394/6382
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 128,9394
Least Common Multiple of Numerators i.e. LCM of 128,9394 is 601216.
GCF of Denominators means GCF of 134,6382 as per the given fractions.
GCF of 134,6382 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 128,9394
2 | 128, 9394 |
64, 4697 |
∴ So the LCM of the given numbers is 2 x 64 x 4697 = 601216
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 128,9394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,9394) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,9394) x common factors =2 x 1 = 2
LCM(128,9394) = ( 128 × 9394 ) / 2
LCM(128,9394) = 1202432 / 2
LCM(128,9394) = 601216
Lets's calculate GCF of 134,6382
2 | 134, 6382 |
67, 3191 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 601216/2
Therefore the LCM of Fractions 128/134,9394/6382 is 300608
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 6382
List of positive integer factors of 6382 that divides 6382 without a remainder.
1,2,3191,6382
Greatest Common Factor
We found the factors 134,6382 . The biggest common factor number is the GCF number.
So the greatest common factor 134,6382 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 128/134, 9394/6382?
Answer: LCM of Numerators as per given numbers 128/134, 9394/6382 is
LCM of Numerators i.e. for 128,9394 is 601216
GCF of denominators i.e. for 134,6382 is 2.
Thus, LCM of Fractions is 300608.Finally, LCM of Fractions for 128/134, 9394/6382 is 300608.