Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3674/589, 5910/2099 quickly i.e. 10856670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3674/589, 5910/2099 is 10856670.
LCM(3674/589, 5910/2099) = 10856670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3674/589,5910/2099
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 3674,5910
Least Common Multiple of Numerators i.e. LCM of 3674,5910 is 10856670.
GCF of Denominators means GCF of 589,2099 as per the given fractions.
GCF of 589,2099 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3674,5910
2 | 3674, 5910 |
1837, 2955 |
∴ So the LCM of the given numbers is 2 x 1837 x 2955 = 10856670
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 3674,5910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3674,5910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3674,5910) x common factors =2 x 1 = 2
LCM(3674,5910) = ( 3674 × 5910 ) / 2
LCM(3674,5910) = 21713340 / 2
LCM(3674,5910) = 10856670
Lets's calculate GCF of 589,2099
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10856670/1
Therefore the LCM of Fractions 3674/589,5910/2099 is 10856670
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 2099
List of positive integer factors of 2099 that divides 2099 without a remainder.
1,2099
Greatest Common Factor
We found the factors 589,2099 . The biggest common factor number is the GCF number.
So the greatest common factor 589,2099 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 3674/589, 5910/2099?
Answer: LCM of Numerators as per given numbers 3674/589, 5910/2099 is
LCM of Numerators i.e. for 3674,5910 is 10856670
GCF of denominators i.e. for 589,2099 is 1.
Thus, LCM of Fractions is 10856670.Finally, LCM of Fractions for 3674/589, 5910/2099 is 10856670.