Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5109/209, 4398/1034 quickly i.e. 7489794/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5109/209, 4398/1034 is 7489794/11.
LCM(5109/209, 4398/1034) = 7489794/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5109/209,4398/1034
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 5109,4398
Least Common Multiple of Numerators i.e. LCM of 5109,4398 is 7489794.
GCF of Denominators means GCF of 209,1034 as per the given fractions.
GCF of 209,1034 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5109,4398
3 | 5109, 4398 |
1703, 1466 |
∴ So the LCM of the given numbers is 3 x 1703 x 1466 = 7489794
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 5109,4398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5109,4398) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(5109,4398) x common factors =3 x 1 = 3
LCM(5109,4398) = ( 5109 × 4398 ) / 3
LCM(5109,4398) = 22469382 / 3
LCM(5109,4398) = 7489794
Lets's calculate GCF of 209,1034
11 | 209, 1034 |
19, 94 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7489794/11
Therefore the LCM of Fractions 5109/209,4398/1034 is 7489794/11
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 1034
List of positive integer factors of 1034 that divides 1034 without a remainder.
1,2,11,22,47,94,517,1034
Greatest Common Factor
We found the factors 209,1034 . The biggest common factor number is the GCF number.
So the greatest common factor 209,1034 is 11.
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 5109/209, 4398/1034?
Answer: LCM of Numerators as per given numbers 5109/209, 4398/1034 is
LCM of Numerators i.e. for 5109,4398 is 7489794
GCF of denominators i.e. for 209,1034 is 11.
Thus, LCM of Fractions is 7489794/11.Finally, LCM of Fractions for 5109/209, 4398/1034 is 7489794/11.