Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1678/598, 8585/209 quickly i.e. 14405630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1678/598, 8585/209 is 14405630.
LCM(1678/598, 8585/209) = 14405630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1678/598,8585/209
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 1678,8585
Least Common Multiple of Numerators i.e. LCM of 1678,8585 is 14405630.
GCF of Denominators means GCF of 598,209 as per the given fractions.
GCF of 598,209 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1678,8585
Given numbers has no common factors except 1. So, there LCM is their product i.e 14405630
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 1678,8585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1678,8585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1678,8585) x common factors =1 x 1 = 1
LCM(1678,8585) = ( 1678 × 8585 ) / 1
LCM(1678,8585) = 14405630 / 1
LCM(1678,8585) = 14405630
Lets's calculate GCF of 598,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14405630/1
Therefore the LCM of Fractions 1678/598,8585/209 is 14405630
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors 598,209 . The biggest common factor number is the GCF number.
So the greatest common factor 598,209 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 1678/598, 8585/209?
Answer: LCM of Numerators as per given numbers 1678/598, 8585/209 is
LCM of Numerators i.e. for 1678,8585 is 14405630
GCF of denominators i.e. for 598,209 is 1.
Thus, LCM of Fractions is 14405630.Finally, LCM of Fractions for 1678/598, 8585/209 is 14405630.