Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7273/591, 2155/1589 quickly i.e. 15673315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7273/591, 2155/1589 is 15673315.
LCM(7273/591, 2155/1589) = 15673315
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7273/591,2155/1589
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 7273,2155
Least Common Multiple of Numerators i.e. LCM of 7273,2155 is 15673315.
GCF of Denominators means GCF of 591,1589 as per the given fractions.
GCF of 591,1589 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7273,2155
Given numbers has no common factors except 1. So, there LCM is their product i.e 15673315
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 7273,2155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7273,2155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7273,2155) x common factors =1 x 1 = 1
LCM(7273,2155) = ( 7273 × 2155 ) / 1
LCM(7273,2155) = 15673315 / 1
LCM(7273,2155) = 15673315
Lets's calculate GCF of 591,1589
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15673315/1
Therefore the LCM of Fractions 7273/591,2155/1589 is 15673315
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
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 591,1589 . The biggest common factor number is the GCF number.
So the greatest common factor 591,1589 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 7273/591, 2155/1589?
Answer: LCM of Numerators as per given numbers 7273/591, 2155/1589 is
LCM of Numerators i.e. for 7273,2155 is 15673315
GCF of denominators i.e. for 591,1589 is 1.
Thus, LCM of Fractions is 15673315.Finally, LCM of Fractions for 7273/591, 2155/1589 is 15673315.