Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8163/500, 8441/2137 quickly i.e. 68903883 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8163/500, 8441/2137 is 68903883.
LCM(8163/500, 8441/2137) = 68903883
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8163/500,8441/2137
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 8163,8441
Least Common Multiple of Numerators i.e. LCM of 8163,8441 is 68903883.
GCF of Denominators means GCF of 500,2137 as per the given fractions.
GCF of 500,2137 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8163,8441
Given numbers has no common factors except 1. So, there LCM is their product i.e 68903883
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 8163,8441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8163,8441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8163,8441) x common factors =1 x 1 = 1
LCM(8163,8441) = ( 8163 × 8441 ) / 1
LCM(8163,8441) = 68903883 / 1
LCM(8163,8441) = 68903883
Lets's calculate GCF of 500,2137
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68903883/1
Therefore the LCM of Fractions 8163/500,8441/2137 is 68903883
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 2137
List of positive integer factors of 2137 that divides 2137 without a remainder.
1,2137
Greatest Common Factor
We found the factors 500,2137 . The biggest common factor number is the GCF number.
So the greatest common factor 500,2137 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 8163/500, 8441/2137?
Answer: LCM of Numerators as per given numbers 8163/500, 8441/2137 is
LCM of Numerators i.e. for 8163,8441 is 68903883
GCF of denominators i.e. for 500,2137 is 1.
Thus, LCM of Fractions is 68903883.Finally, LCM of Fractions for 8163/500, 8441/2137 is 68903883.