Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1338/396, 5756/8194 quickly i.e. 1925382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1338/396, 5756/8194 is 1925382.
LCM(1338/396, 5756/8194) = 1925382
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1338/396,5756/8194
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 1338,5756
Least Common Multiple of Numerators i.e. LCM of 1338,5756 is 3850764.
GCF of Denominators means GCF of 396,8194 as per the given fractions.
GCF of 396,8194 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1338,5756
2 | 1338, 5756 |
669, 2878 |
∴ So the LCM of the given numbers is 2 x 669 x 2878 = 3850764
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 1338,5756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1338,5756) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1338,5756) x common factors =2 x 1 = 2
LCM(1338,5756) = ( 1338 × 5756 ) / 2
LCM(1338,5756) = 7701528 / 2
LCM(1338,5756) = 3850764
Lets's calculate GCF of 396,8194
2 | 396, 8194 |
198, 4097 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3850764/2
Therefore the LCM of Fractions 1338/396,5756/8194 is 1925382
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 8194
List of positive integer factors of 8194 that divides 8194 without a remainder.
1,2,17,34,241,482,4097,8194
Greatest Common Factor
We found the factors 396,8194 . The biggest common factor number is the GCF number.
So the greatest common factor 396,8194 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 1338/396, 5756/8194?
Answer: LCM of Numerators as per given numbers 1338/396, 5756/8194 is
LCM of Numerators i.e. for 1338,5756 is 3850764
GCF of denominators i.e. for 396,8194 is 2.
Thus, LCM of Fractions is 1925382.Finally, LCM of Fractions for 1338/396, 5756/8194 is 1925382.