Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/811, 4529/8513 quickly i.e. 262682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/811, 4529/8513 is 262682.
LCM(58/811, 4529/8513) = 262682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/811,4529/8513
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 58,4529
Least Common Multiple of Numerators i.e. LCM of 58,4529 is 262682.
GCF of Denominators means GCF of 811,8513 as per the given fractions.
GCF of 811,8513 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,4529
Given numbers has no common factors except 1. So, there LCM is their product i.e 262682
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 58,4529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,4529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,4529) x common factors =1 x 1 = 1
LCM(58,4529) = ( 58 × 4529 ) / 1
LCM(58,4529) = 262682 / 1
LCM(58,4529) = 262682
Lets's calculate GCF of 811,8513
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262682/1
Therefore the LCM of Fractions 58/811,4529/8513 is 262682
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Factors of 8513
List of positive integer factors of 8513 that divides 8513 without a remainder.
1,8513
Greatest Common Factor
We found the factors 811,8513 . The biggest common factor number is the GCF number.
So the greatest common factor 811,8513 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 58/811, 4529/8513?
Answer: LCM of Numerators as per given numbers 58/811, 4529/8513 is
LCM of Numerators i.e. for 58,4529 is 262682
GCF of denominators i.e. for 811,8513 is 1.
Thus, LCM of Fractions is 262682.Finally, LCM of Fractions for 58/811, 4529/8513 is 262682.