Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 513/36, 875/2133 quickly i.e. 49875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 513/36, 875/2133 is 49875.
LCM(513/36, 875/2133) = 49875
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 513/36,875/2133
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 513,875
Least Common Multiple of Numerators i.e. LCM of 513,875 is 448875.
GCF of Denominators means GCF of 36,2133 as per the given fractions.
GCF of 36,2133 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 513,875
Given numbers has no common factors except 1. So, there LCM is their product i.e 448875
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 513,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,875) x common factors =1 x 1 = 1
LCM(513,875) = ( 513 × 875 ) / 1
LCM(513,875) = 448875 / 1
LCM(513,875) = 448875
Lets's calculate GCF of 36,2133
3 | 36, 2133 |
3 | 12, 711 |
4, 237 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448875/9
Therefore the LCM of Fractions 513/36,875/2133 is 49875
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 2133
List of positive integer factors of 2133 that divides 2133 without a remainder.
1,3,9,27,79,237,711,2133
Greatest Common Factor
We found the factors 36,2133 . The biggest common factor number is the GCF number.
So the greatest common factor 36,2133 is 9.
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 513/36, 875/2133?
Answer: LCM of Numerators as per given numbers 513/36, 875/2133 is
LCM of Numerators i.e. for 513,875 is 448875
GCF of denominators i.e. for 36,2133 is 9.
Thus, LCM of Fractions is 49875.Finally, LCM of Fractions for 513/36, 875/2133 is 49875.