Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8882/189, 3702/933 quickly i.e. 5480194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8882/189, 3702/933 is 5480194.
LCM(8882/189, 3702/933) = 5480194
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8882/189,3702/933
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 8882,3702
Least Common Multiple of Numerators i.e. LCM of 8882,3702 is 16440582.
GCF of Denominators means GCF of 189,933 as per the given fractions.
GCF of 189,933 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8882,3702
2 | 8882, 3702 |
4441, 1851 |
∴ So the LCM of the given numbers is 2 x 4441 x 1851 = 16440582
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 8882,3702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8882,3702) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8882,3702) x common factors =2 x 1 = 2
LCM(8882,3702) = ( 8882 × 3702 ) / 2
LCM(8882,3702) = 32881164 / 2
LCM(8882,3702) = 16440582
Lets's calculate GCF of 189,933
3 | 189, 933 |
63, 311 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16440582/3
Therefore the LCM of Fractions 8882/189,3702/933 is 5480194
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Greatest Common Factor
We found the factors 189,933 . The biggest common factor number is the GCF number.
So the greatest common factor 189,933 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 8882/189, 3702/933?
Answer: LCM of Numerators as per given numbers 8882/189, 3702/933 is
LCM of Numerators i.e. for 8882,3702 is 16440582
GCF of denominators i.e. for 189,933 is 3.
Thus, LCM of Fractions is 5480194.Finally, LCM of Fractions for 8882/189, 3702/933 is 5480194.