Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6537/99, 5883/819 quickly i.e. 12819057/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6537/99, 5883/819 is 12819057/9.
LCM(6537/99, 5883/819) = 12819057/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6537/99,5883/819
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 6537,5883
Least Common Multiple of Numerators i.e. LCM of 6537,5883 is 12819057.
GCF of Denominators means GCF of 99,819 as per the given fractions.
GCF of 99,819 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6537,5883
3 | 6537, 5883 |
2179, 1961 |
∴ So the LCM of the given numbers is 3 x 2179 x 1961 = 12819057
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 6537,5883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6537,5883) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(6537,5883) x common factors =3 x 1 = 3
LCM(6537,5883) = ( 6537 × 5883 ) / 3
LCM(6537,5883) = 38457171 / 3
LCM(6537,5883) = 12819057
Lets's calculate GCF of 99,819
3 | 99, 819 |
3 | 33, 273 |
11, 91 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12819057/9
Therefore the LCM of Fractions 6537/99,5883/819 is 12819057/9
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Greatest Common Factor
We found the factors 99,819 . The biggest common factor number is the GCF number.
So the greatest common factor 99,819 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 6537/99, 5883/819?
Answer: LCM of Numerators as per given numbers 6537/99, 5883/819 is
LCM of Numerators i.e. for 6537,5883 is 12819057
GCF of denominators i.e. for 99,819 is 9.
Thus, LCM of Fractions is 12819057/9.Finally, LCM of Fractions for 6537/99, 5883/819 is 12819057/9.