Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 884/933, 4590/225 quickly i.e. 39780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 884/933, 4590/225 is 39780.
LCM(884/933, 4590/225) = 39780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 884/933,4590/225
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 884,4590
Least Common Multiple of Numerators i.e. LCM of 884,4590 is 119340.
GCF of Denominators means GCF of 933,225 as per the given fractions.
GCF of 933,225 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 884,4590
2 | 884, 4590 |
17 | 442, 2295 |
26, 135 |
∴ So the LCM of the given numbers is 2 x 17 x 26 x 135 = 119340
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 884,4590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,4590) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(884,4590) x common factors =34 x 1 = 34
LCM(884,4590) = ( 884 × 4590 ) / 34
LCM(884,4590) = 4057560 / 34
LCM(884,4590) = 119340
Lets's calculate GCF of 933,225
3 | 933, 225 |
311, 75 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119340/3
Therefore the LCM of Fractions 884/933,4590/225 is 39780
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 933,225 . The biggest common factor number is the GCF number.
So the greatest common factor 933,225 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 884/933, 4590/225?
Answer: LCM of Numerators as per given numbers 884/933, 4590/225 is
LCM of Numerators i.e. for 884,4590 is 119340
GCF of denominators i.e. for 933,225 is 3.
Thus, LCM of Fractions is 39780.Finally, LCM of Fractions for 884/933, 4590/225 is 39780.