Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 276/99, 513/6723 quickly i.e. 5244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 276/99, 513/6723 is 5244.
LCM(276/99, 513/6723) = 5244
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 276/99,513/6723
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 276,513
Least Common Multiple of Numerators i.e. LCM of 276,513 is 47196.
GCF of Denominators means GCF of 99,6723 as per the given fractions.
GCF of 99,6723 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 276,513
3 | 276, 513 |
92, 171 |
∴ So the LCM of the given numbers is 3 x 92 x 171 = 47196
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 276,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,513) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(276,513) x common factors =3 x 1 = 3
LCM(276,513) = ( 276 × 513 ) / 3
LCM(276,513) = 141588 / 3
LCM(276,513) = 47196
Lets's calculate GCF of 99,6723
3 | 99, 6723 |
3 | 33, 2241 |
11, 747 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47196/9
Therefore the LCM of Fractions 276/99,513/6723 is 5244
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 6723
List of positive integer factors of 6723 that divides 6723 without a remainder.
1,3,9,27,81,83,249,747,2241,6723
Greatest Common Factor
We found the factors 99,6723 . The biggest common factor number is the GCF number.
So the greatest common factor 99,6723 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 276/99, 513/6723?
Answer: LCM of Numerators as per given numbers 276/99, 513/6723 is
LCM of Numerators i.e. for 276,513 is 47196
GCF of denominators i.e. for 99,6723 is 9.
Thus, LCM of Fractions is 5244.Finally, LCM of Fractions for 276/99, 513/6723 is 5244.