Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 825/93, 486/6594 quickly i.e. 44550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 825/93, 486/6594 is 44550.
LCM(825/93, 486/6594) = 44550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 825/93,486/6594
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 825,486
Least Common Multiple of Numerators i.e. LCM of 825,486 is 133650.
GCF of Denominators means GCF of 93,6594 as per the given fractions.
GCF of 93,6594 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 825,486
3 | 825, 486 |
275, 162 |
∴ So the LCM of the given numbers is 3 x 275 x 162 = 133650
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 825,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,486) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(825,486) x common factors =3 x 1 = 3
LCM(825,486) = ( 825 × 486 ) / 3
LCM(825,486) = 400950 / 3
LCM(825,486) = 133650
Lets's calculate GCF of 93,6594
3 | 93, 6594 |
31, 2198 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133650/3
Therefore the LCM of Fractions 825/93,486/6594 is 44550
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 6594
List of positive integer factors of 6594 that divides 6594 without a remainder.
1,2,3,6,7,14,21,42,157,314,471,942,1099,2198,3297,6594
Greatest Common Factor
We found the factors 93,6594 . The biggest common factor number is the GCF number.
So the greatest common factor 93,6594 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 825/93, 486/6594?
Answer: LCM of Numerators as per given numbers 825/93, 486/6594 is
LCM of Numerators i.e. for 825,486 is 133650
GCF of denominators i.e. for 93,6594 is 3.
Thus, LCM of Fractions is 44550.Finally, LCM of Fractions for 825/93, 486/6594 is 44550.