Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/500, 8722/8482 quickly i.e. 143913 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/500, 8722/8482 is 143913.
LCM(33/500, 8722/8482) = 143913
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/500,8722/8482
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 33,8722
Least Common Multiple of Numerators i.e. LCM of 33,8722 is 287826.
GCF of Denominators means GCF of 500,8482 as per the given fractions.
GCF of 500,8482 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,8722
Given numbers has no common factors except 1. So, there LCM is their product i.e 287826
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 33,8722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,8722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,8722) x common factors =1 x 1 = 1
LCM(33,8722) = ( 33 × 8722 ) / 1
LCM(33,8722) = 287826 / 1
LCM(33,8722) = 287826
Lets's calculate GCF of 500,8482
2 | 500, 8482 |
250, 4241 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287826/2
Therefore the LCM of Fractions 33/500,8722/8482 is 143913
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 8482
List of positive integer factors of 8482 that divides 8482 without a remainder.
1,2,4241,8482
Greatest Common Factor
We found the factors 500,8482 . The biggest common factor number is the GCF number.
So the greatest common factor 500,8482 is 2.
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 33/500, 8722/8482?
Answer: LCM of Numerators as per given numbers 33/500, 8722/8482 is
LCM of Numerators i.e. for 33,8722 is 287826
GCF of denominators i.e. for 500,8482 is 2.
Thus, LCM of Fractions is 143913.Finally, LCM of Fractions for 33/500, 8722/8482 is 143913.