Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2487/234, 7394/3999 quickly i.e. 6129626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2487/234, 7394/3999 is 6129626.
LCM(2487/234, 7394/3999) = 6129626
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2487/234,7394/3999
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 2487,7394
Least Common Multiple of Numerators i.e. LCM of 2487,7394 is 18388878.
GCF of Denominators means GCF of 234,3999 as per the given fractions.
GCF of 234,3999 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2487,7394
Given numbers has no common factors except 1. So, there LCM is their product i.e 18388878
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 2487,7394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2487,7394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2487,7394) x common factors =1 x 1 = 1
LCM(2487,7394) = ( 2487 × 7394 ) / 1
LCM(2487,7394) = 18388878 / 1
LCM(2487,7394) = 18388878
Lets's calculate GCF of 234,3999
3 | 234, 3999 |
78, 1333 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18388878/3
Therefore the LCM of Fractions 2487/234,7394/3999 is 6129626
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 3999
List of positive integer factors of 3999 that divides 3999 without a remainder.
1,3,31,43,93,129,1333,3999
Greatest Common Factor
We found the factors 234,3999 . The biggest common factor number is the GCF number.
So the greatest common factor 234,3999 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 2487/234, 7394/3999?
Answer: LCM of Numerators as per given numbers 2487/234, 7394/3999 is
LCM of Numerators i.e. for 2487,7394 is 18388878
GCF of denominators i.e. for 234,3999 is 3.
Thus, LCM of Fractions is 6129626.Finally, LCM of Fractions for 2487/234, 7394/3999 is 6129626.