Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/433, 13/367, 427/226 quickly i.e. 5551 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/433, 13/367, 427/226 is 5551.
LCM(13/433, 13/367, 427/226) = 5551
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/433,13/367,427/226
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 13,13,427
Least Common Multiple of Numerators i.e. LCM of 13,13,427 is 5551.
GCF of Denominators means GCF of 433,367,226 as per the given fractions.
GCF of 433,367,226 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,13,427
13 | 13, 13, 427 |
1, 1, 427 |
∴ So the LCM of the given numbers is 13 x 1 x 1 x 427 = 5551
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 13,13,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,13,427) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(13,13,427) x common factors =1 x 13 = 13
LCM(13,13,427) = ( 13 × 13 × 427 ) / 13
LCM(13,13,427) = 72163 / 13
LCM(13,13,427) = 5551
Lets's calculate GCF of 433,367,226
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5551/1
Therefore the LCM of Fractions 13/433,13/367,427/226 is 5551
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Greatest Common Factor
We found the factors 433,367,226 . The biggest common factor number is the GCF number.
So the greatest common factor 433,367,226 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 13/433, 13/367, 427/226?
Answer: LCM of Numerators as per given numbers 13/433, 13/367, 427/226 is
LCM of Numerators i.e. for 13,13,427 is 5551
GCF of denominators i.e. for 433,367,226 is 1.
Thus, LCM of Fractions is 5551.Finally, LCM of Fractions for 13/433, 13/367, 427/226 is 5551.