Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8517/399, 2433/7506 quickly i.e. 2302429 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8517/399, 2433/7506 is 2302429.
LCM(8517/399, 2433/7506) = 2302429
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8517/399,2433/7506
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 8517,2433
Least Common Multiple of Numerators i.e. LCM of 8517,2433 is 6907287.
GCF of Denominators means GCF of 399,7506 as per the given fractions.
GCF of 399,7506 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8517,2433
3 | 8517, 2433 |
2839, 811 |
∴ So the LCM of the given numbers is 3 x 2839 x 811 = 6907287
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 8517,2433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8517,2433) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8517,2433) x common factors =3 x 1 = 3
LCM(8517,2433) = ( 8517 × 2433 ) / 3
LCM(8517,2433) = 20721861 / 3
LCM(8517,2433) = 6907287
Lets's calculate GCF of 399,7506
3 | 399, 7506 |
133, 2502 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6907287/3
Therefore the LCM of Fractions 8517/399,2433/7506 is 2302429
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 7506
List of positive integer factors of 7506 that divides 7506 without a remainder.
1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506
Greatest Common Factor
We found the factors 399,7506 . The biggest common factor number is the GCF number.
So the greatest common factor 399,7506 is 3.
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 8517/399, 2433/7506?
Answer: LCM of Numerators as per given numbers 8517/399, 2433/7506 is
LCM of Numerators i.e. for 8517,2433 is 6907287
GCF of denominators i.e. for 399,7506 is 3.
Thus, LCM of Fractions is 2302429.Finally, LCM of Fractions for 8517/399, 2433/7506 is 2302429.