Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 495/405, 4881/183 quickly i.e. 268455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 495/405, 4881/183 is 268455.
LCM(495/405, 4881/183) = 268455
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 495/405,4881/183
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 495,4881
Least Common Multiple of Numerators i.e. LCM of 495,4881 is 805365.
GCF of Denominators means GCF of 405,183 as per the given fractions.
GCF of 405,183 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 495,4881
3 | 495, 4881 |
165, 1627 |
∴ So the LCM of the given numbers is 3 x 165 x 1627 = 805365
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 495,4881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,4881) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(495,4881) x common factors =3 x 1 = 3
LCM(495,4881) = ( 495 × 4881 ) / 3
LCM(495,4881) = 2416095 / 3
LCM(495,4881) = 805365
Lets's calculate GCF of 405,183
3 | 405, 183 |
135, 61 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 805365/3
Therefore the LCM of Fractions 495/405,4881/183 is 268455
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Greatest Common Factor
We found the factors 405,183 . The biggest common factor number is the GCF number.
So the greatest common factor 405,183 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 495/405, 4881/183?
Answer: LCM of Numerators as per given numbers 495/405, 4881/183 is
LCM of Numerators i.e. for 495,4881 is 805365
GCF of denominators i.e. for 405,183 is 3.
Thus, LCM of Fractions is 268455.Finally, LCM of Fractions for 495/405, 4881/183 is 268455.