Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 483/286, 5953/500 quickly i.e. 2875299/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 483/286, 5953/500 is 2875299/2.
LCM(483/286, 5953/500) = 2875299/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 483/286,5953/500
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 483,5953
Least Common Multiple of Numerators i.e. LCM of 483,5953 is 2875299.
GCF of Denominators means GCF of 286,500 as per the given fractions.
GCF of 286,500 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 483,5953
Given numbers has no common factors except 1. So, there LCM is their product i.e 2875299
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 483,5953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,5953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(483,5953) x common factors =1 x 1 = 1
LCM(483,5953) = ( 483 × 5953 ) / 1
LCM(483,5953) = 2875299 / 1
LCM(483,5953) = 2875299
Lets's calculate GCF of 286,500
2 | 286, 500 |
143, 250 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2875299/2
Therefore the LCM of Fractions 483/286,5953/500 is 2875299/2
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
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
Greatest Common Factor
We found the factors 286,500 . The biggest common factor number is the GCF number.
So the greatest common factor 286,500 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 483/286, 5953/500?
Answer: LCM of Numerators as per given numbers 483/286, 5953/500 is
LCM of Numerators i.e. for 483,5953 is 2875299
GCF of denominators i.e. for 286,500 is 2.
Thus, LCM of Fractions is 2875299/2.Finally, LCM of Fractions for 483/286, 5953/500 is 2875299/2.