Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2290/390, 3597/1589 quickly i.e. 8237130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2290/390, 3597/1589 is 8237130.
LCM(2290/390, 3597/1589) = 8237130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2290/390,3597/1589
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 2290,3597
Least Common Multiple of Numerators i.e. LCM of 2290,3597 is 8237130.
GCF of Denominators means GCF of 390,1589 as per the given fractions.
GCF of 390,1589 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2290,3597
Given numbers has no common factors except 1. So, there LCM is their product i.e 8237130
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 2290,3597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2290,3597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2290,3597) x common factors =1 x 1 = 1
LCM(2290,3597) = ( 2290 × 3597 ) / 1
LCM(2290,3597) = 8237130 / 1
LCM(2290,3597) = 8237130
Lets's calculate GCF of 390,1589
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8237130/1
Therefore the LCM of Fractions 2290/390,3597/1589 is 8237130
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 1589
List of positive integer factors of 1589 that divides 1589 without a remainder.
1,7,227,1589
Greatest Common Factor
We found the factors 390,1589 . The biggest common factor number is the GCF number.
So the greatest common factor 390,1589 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 2290/390, 3597/1589?
Answer: LCM of Numerators as per given numbers 2290/390, 3597/1589 is
LCM of Numerators i.e. for 2290,3597 is 8237130
GCF of denominators i.e. for 390,1589 is 1.
Thus, LCM of Fractions is 8237130.Finally, LCM of Fractions for 2290/390, 3597/1589 is 8237130.