Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 404/213, 230/477, 485/676 quickly i.e. 4506620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 404/213, 230/477, 485/676 is 4506620.
LCM(404/213, 230/477, 485/676) = 4506620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 404/213,230/477,485/676
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 404,230,485
Least Common Multiple of Numerators i.e. LCM of 404,230,485 is 4506620.
GCF of Denominators means GCF of 213,477,676 as per the given fractions.
GCF of 213,477,676 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 404,230,485
2 | 404, 230, 485 |
5 | 202, 115, 485 |
202, 23, 97 |
∴ So the LCM of the given numbers is 2 x 5 x 202 x 23 x 97 = 4506620
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 404,230,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,230,485) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(404,230,485) x common factors =1 x 10 = 10
LCM(404,230,485) = ( 404 × 230 × 485 ) / 10
LCM(404,230,485) = 45066200 / 10
LCM(404,230,485) = 4506620
Lets's calculate GCF of 213,477,676
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4506620/1
Therefore the LCM of Fractions 404/213,230/477,485/676 is 4506620
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 213,477,676 . The biggest common factor number is the GCF number.
So the greatest common factor 213,477,676 is 1.
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 404/213, 230/477, 485/676?
Answer: LCM of Numerators as per given numbers 404/213, 230/477, 485/676 is
LCM of Numerators i.e. for 404,230,485 is 4506620
GCF of denominators i.e. for 213,477,676 is 1.
Thus, LCM of Fractions is 4506620.Finally, LCM of Fractions for 404/213, 230/477, 485/676 is 4506620.