Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5064/203, 5133/7939 quickly i.e. 8664504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5064/203, 5133/7939 is 8664504.
LCM(5064/203, 5133/7939) = 8664504
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5064/203,5133/7939
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 5064,5133
Least Common Multiple of Numerators i.e. LCM of 5064,5133 is 8664504.
GCF of Denominators means GCF of 203,7939 as per the given fractions.
GCF of 203,7939 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5064,5133
3 | 5064, 5133 |
1688, 1711 |
∴ So the LCM of the given numbers is 3 x 1688 x 1711 = 8664504
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 5064,5133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5064,5133) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(5064,5133) x common factors =3 x 1 = 3
LCM(5064,5133) = ( 5064 × 5133 ) / 3
LCM(5064,5133) = 25993512 / 3
LCM(5064,5133) = 8664504
Lets's calculate GCF of 203,7939
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8664504/1
Therefore the LCM of Fractions 5064/203,5133/7939 is 8664504
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 7939
List of positive integer factors of 7939 that divides 7939 without a remainder.
1,17,467,7939
Greatest Common Factor
We found the factors 203,7939 . The biggest common factor number is the GCF number.
So the greatest common factor 203,7939 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 5064/203, 5133/7939?
Answer: LCM of Numerators as per given numbers 5064/203, 5133/7939 is
LCM of Numerators i.e. for 5064,5133 is 8664504
GCF of denominators i.e. for 203,7939 is 1.
Thus, LCM of Fractions is 8664504.Finally, LCM of Fractions for 5064/203, 5133/7939 is 8664504.