Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2349/290, 3636/6412 quickly i.e. 474498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2349/290, 3636/6412 is 474498.
LCM(2349/290, 3636/6412) = 474498
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2349/290,3636/6412
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 2349,3636
Least Common Multiple of Numerators i.e. LCM of 2349,3636 is 948996.
GCF of Denominators means GCF of 290,6412 as per the given fractions.
GCF of 290,6412 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2349,3636
3 | 2349, 3636 |
3 | 783, 1212 |
261, 404 |
∴ So the LCM of the given numbers is 3 x 3 x 261 x 404 = 948996
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 2349,3636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2349,3636) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(2349,3636) x common factors =9 x 1 = 9
LCM(2349,3636) = ( 2349 × 3636 ) / 9
LCM(2349,3636) = 8540964 / 9
LCM(2349,3636) = 948996
Lets's calculate GCF of 290,6412
2 | 290, 6412 |
145, 3206 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 948996/2
Therefore the LCM of Fractions 2349/290,3636/6412 is 474498
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 6412
List of positive integer factors of 6412 that divides 6412 without a remainder.
1,2,4,7,14,28,229,458,916,1603,3206,6412
Greatest Common Factor
We found the factors 290,6412 . The biggest common factor number is the GCF number.
So the greatest common factor 290,6412 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 2349/290, 3636/6412?
Answer: LCM of Numerators as per given numbers 2349/290, 3636/6412 is
LCM of Numerators i.e. for 2349,3636 is 948996
GCF of denominators i.e. for 290,6412 is 2.
Thus, LCM of Fractions is 474498.Finally, LCM of Fractions for 2349/290, 3636/6412 is 474498.