Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 341/109, 6040/585 quickly i.e. 2059640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 341/109, 6040/585 is 2059640.
LCM(341/109, 6040/585) = 2059640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 341/109,6040/585
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 341,6040
Least Common Multiple of Numerators i.e. LCM of 341,6040 is 2059640.
GCF of Denominators means GCF of 109,585 as per the given fractions.
GCF of 109,585 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 341,6040
Given numbers has no common factors except 1. So, there LCM is their product i.e 2059640
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 341,6040 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,6040) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,6040) x common factors =1 x 1 = 1
LCM(341,6040) = ( 341 × 6040 ) / 1
LCM(341,6040) = 2059640 / 1
LCM(341,6040) = 2059640
Lets's calculate GCF of 109,585
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2059640/1
Therefore the LCM of Fractions 341/109,6040/585 is 2059640
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Greatest Common Factor
We found the factors 109,585 . The biggest common factor number is the GCF number.
So the greatest common factor 109,585 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 341/109, 6040/585?
Answer: LCM of Numerators as per given numbers 341/109, 6040/585 is
LCM of Numerators i.e. for 341,6040 is 2059640
GCF of denominators i.e. for 109,585 is 1.
Thus, LCM of Fractions is 2059640.Finally, LCM of Fractions for 341/109, 6040/585 is 2059640.