Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3336/406, 3498/6183 quickly i.e. 1944888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3336/406, 3498/6183 is 1944888.
LCM(3336/406, 3498/6183) = 1944888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3336/406,3498/6183
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 3336,3498
Least Common Multiple of Numerators i.e. LCM of 3336,3498 is 1944888.
GCF of Denominators means GCF of 406,6183 as per the given fractions.
GCF of 406,6183 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3336,3498
2 | 3336, 3498 |
3 | 1668, 1749 |
556, 583 |
∴ So the LCM of the given numbers is 2 x 3 x 556 x 583 = 1944888
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 3336,3498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3336,3498) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(3336,3498) x common factors =6 x 1 = 6
LCM(3336,3498) = ( 3336 × 3498 ) / 6
LCM(3336,3498) = 11669328 / 6
LCM(3336,3498) = 1944888
Lets's calculate GCF of 406,6183
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1944888/1
Therefore the LCM of Fractions 3336/406,3498/6183 is 1944888
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Factors of 6183
List of positive integer factors of 6183 that divides 6183 without a remainder.
1,3,9,27,229,687,2061,6183
Greatest Common Factor
We found the factors 406,6183 . The biggest common factor number is the GCF number.
So the greatest common factor 406,6183 is 1.
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 3336/406, 3498/6183?
Answer: LCM of Numerators as per given numbers 3336/406, 3498/6183 is
LCM of Numerators i.e. for 3336,3498 is 1944888
GCF of denominators i.e. for 406,6183 is 1.
Thus, LCM of Fractions is 1944888.Finally, LCM of Fractions for 3336/406, 3498/6183 is 1944888.