Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4596/589, 1906/806 quickly i.e. 4379988/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4596/589, 1906/806 is 4379988/31.
LCM(4596/589, 1906/806) = 4379988/31
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4596/589,1906/806
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 4596,1906
Least Common Multiple of Numerators i.e. LCM of 4596,1906 is 4379988.
GCF of Denominators means GCF of 589,806 as per the given fractions.
GCF of 589,806 is 31 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4596,1906
2 | 4596, 1906 |
2298, 953 |
∴ So the LCM of the given numbers is 2 x 2298 x 953 = 4379988
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 4596,1906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4596,1906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4596,1906) x common factors =2 x 1 = 2
LCM(4596,1906) = ( 4596 × 1906 ) / 2
LCM(4596,1906) = 8759976 / 2
LCM(4596,1906) = 4379988
Lets's calculate GCF of 589,806
31 | 589, 806 |
19, 26 |
∴ So the GCF of the given numbers is 31 = 31
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4379988/31
Therefore the LCM of Fractions 4596/589,1906/806 is 4379988/31
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 589,806 . The biggest common factor number is the GCF number.
So the greatest common factor 589,806 is 31.
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 4596/589, 1906/806?
Answer: LCM of Numerators as per given numbers 4596/589, 1906/806 is
LCM of Numerators i.e. for 4596,1906 is 4379988
GCF of denominators i.e. for 589,806 is 31.
Thus, LCM of Fractions is 4379988/31.Finally, LCM of Fractions for 4596/589, 1906/806 is 4379988/31.