Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 509/26, 953/27, 223/399 quickly i.e. 108172171 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 509/26, 953/27, 223/399 is 108172171.
LCM(509/26, 953/27, 223/399) = 108172171
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 509/26,953/27,223/399
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 509,953,223
Least Common Multiple of Numerators i.e. LCM of 509,953,223 is 108172171.
GCF of Denominators means GCF of 26,27,399 as per the given fractions.
GCF of 26,27,399 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 509,953,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 108172171
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 509,953,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,953,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,953,223) x common factors =1 x 1 = 1
LCM(509,953,223) = ( 509 × 953 × 223 ) / 1
LCM(509,953,223) = 108172171 / 1
LCM(509,953,223) = 108172171
Lets's calculate GCF of 26,27,399
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108172171/1
Therefore the LCM of Fractions 509/26,953/27,223/399 is 108172171
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 26,27,399 . The biggest common factor number is the GCF number.
So the greatest common factor 26,27,399 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 509/26, 953/27, 223/399?
Answer: LCM of Numerators as per given numbers 509/26, 953/27, 223/399 is
LCM of Numerators i.e. for 509,953,223 is 108172171
GCF of denominators i.e. for 26,27,399 is 1.
Thus, LCM of Fractions is 108172171.Finally, LCM of Fractions for 509/26, 953/27, 223/399 is 108172171.