Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 530/54, 813/2591 quickly i.e. 430890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 530/54, 813/2591 is 430890.
LCM(530/54, 813/2591) = 430890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 530/54,813/2591
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 530,813
Least Common Multiple of Numerators i.e. LCM of 530,813 is 430890.
GCF of Denominators means GCF of 54,2591 as per the given fractions.
GCF of 54,2591 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 530,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 430890
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 530,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(530,813) x common factors =1 x 1 = 1
LCM(530,813) = ( 530 × 813 ) / 1
LCM(530,813) = 430890 / 1
LCM(530,813) = 430890
Lets's calculate GCF of 54,2591
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430890/1
Therefore the LCM of Fractions 530/54,813/2591 is 430890
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 2591
List of positive integer factors of 2591 that divides 2591 without a remainder.
1,2591
Greatest Common Factor
We found the factors 54,2591 . The biggest common factor number is the GCF number.
So the greatest common factor 54,2591 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 530/54, 813/2591?
Answer: LCM of Numerators as per given numbers 530/54, 813/2591 is
LCM of Numerators i.e. for 530,813 is 430890
GCF of denominators i.e. for 54,2591 is 1.
Thus, LCM of Fractions is 430890.Finally, LCM of Fractions for 530/54, 813/2591 is 430890.