Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3682/183, 5284/4098 quickly i.e. 9727844/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3682/183, 5284/4098 is 9727844/3.
LCM(3682/183, 5284/4098) = 9727844/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3682/183,5284/4098
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 3682,5284
Least Common Multiple of Numerators i.e. LCM of 3682,5284 is 9727844.
GCF of Denominators means GCF of 183,4098 as per the given fractions.
GCF of 183,4098 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3682,5284
2 | 3682, 5284 |
1841, 2642 |
∴ So the LCM of the given numbers is 2 x 1841 x 2642 = 9727844
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 3682,5284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3682,5284) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3682,5284) x common factors =2 x 1 = 2
LCM(3682,5284) = ( 3682 × 5284 ) / 2
LCM(3682,5284) = 19455688 / 2
LCM(3682,5284) = 9727844
Lets's calculate GCF of 183,4098
3 | 183, 4098 |
61, 1366 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9727844/3
Therefore the LCM of Fractions 3682/183,5284/4098 is 9727844/3
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 4098
List of positive integer factors of 4098 that divides 4098 without a remainder.
1,2,3,6,683,1366,2049,4098
Greatest Common Factor
We found the factors 183,4098 . The biggest common factor number is the GCF number.
So the greatest common factor 183,4098 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 3682/183, 5284/4098?
Answer: LCM of Numerators as per given numbers 3682/183, 5284/4098 is
LCM of Numerators i.e. for 3682,5284 is 9727844
GCF of denominators i.e. for 183,4098 is 3.
Thus, LCM of Fractions is 9727844/3.Finally, LCM of Fractions for 3682/183, 5284/4098 is 9727844/3.