Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 133/933, 9444/3798 quickly i.e. 418684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 133/933, 9444/3798 is 418684.
LCM(133/933, 9444/3798) = 418684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 133/933,9444/3798
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 133,9444
Least Common Multiple of Numerators i.e. LCM of 133,9444 is 1256052.
GCF of Denominators means GCF of 933,3798 as per the given fractions.
GCF of 933,3798 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 133,9444
Given numbers has no common factors except 1. So, there LCM is their product i.e 1256052
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 133,9444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,9444) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,9444) x common factors =1 x 1 = 1
LCM(133,9444) = ( 133 × 9444 ) / 1
LCM(133,9444) = 1256052 / 1
LCM(133,9444) = 1256052
Lets's calculate GCF of 933,3798
3 | 933, 3798 |
311, 1266 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1256052/3
Therefore the LCM of Fractions 133/933,9444/3798 is 418684
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 3798
List of positive integer factors of 3798 that divides 3798 without a remainder.
1,2,3,6,9,18,211,422,633,1266,1899,3798
Greatest Common Factor
We found the factors 933,3798 . The biggest common factor number is the GCF number.
So the greatest common factor 933,3798 is 3.
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 133/933, 9444/3798?
Answer: LCM of Numerators as per given numbers 133/933, 9444/3798 is
LCM of Numerators i.e. for 133,9444 is 1256052
GCF of denominators i.e. for 933,3798 is 3.
Thus, LCM of Fractions is 418684.Finally, LCM of Fractions for 133/933, 9444/3798 is 418684.