Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8610/825, 8433/6609 quickly i.e. 8067570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8610/825, 8433/6609 is 8067570.
LCM(8610/825, 8433/6609) = 8067570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8610/825,8433/6609
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 8610,8433
Least Common Multiple of Numerators i.e. LCM of 8610,8433 is 24202710.
GCF of Denominators means GCF of 825,6609 as per the given fractions.
GCF of 825,6609 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8610,8433
3 | 8610, 8433 |
2870, 2811 |
∴ So the LCM of the given numbers is 3 x 2870 x 2811 = 24202710
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 8610,8433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8610,8433) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8610,8433) x common factors =3 x 1 = 3
LCM(8610,8433) = ( 8610 × 8433 ) / 3
LCM(8610,8433) = 72608130 / 3
LCM(8610,8433) = 24202710
Lets's calculate GCF of 825,6609
3 | 825, 6609 |
275, 2203 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24202710/3
Therefore the LCM of Fractions 8610/825,8433/6609 is 8067570
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 6609
List of positive integer factors of 6609 that divides 6609 without a remainder.
1,3,2203,6609
Greatest Common Factor
We found the factors 825,6609 . The biggest common factor number is the GCF number.
So the greatest common factor 825,6609 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 8610/825, 8433/6609?
Answer: LCM of Numerators as per given numbers 8610/825, 8433/6609 is
LCM of Numerators i.e. for 8610,8433 is 24202710
GCF of denominators i.e. for 825,6609 is 3.
Thus, LCM of Fractions is 8067570.Finally, LCM of Fractions for 8610/825, 8433/6609 is 8067570.