Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/952, 55/871, 129/230 quickly i.e. 184470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/952, 55/871, 129/230 is 184470.
LCM(26/952, 55/871, 129/230) = 184470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/952,55/871,129/230
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 26,55,129
Least Common Multiple of Numerators i.e. LCM of 26,55,129 is 184470.
GCF of Denominators means GCF of 952,871,230 as per the given fractions.
GCF of 952,871,230 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,55,129
Given numbers has no common factors except 1. So, there LCM is their product i.e 184470
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 26,55,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,55,129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,55,129) x common factors =1 x 1 = 1
LCM(26,55,129) = ( 26 × 55 × 129 ) / 1
LCM(26,55,129) = 184470 / 1
LCM(26,55,129) = 184470
Lets's calculate GCF of 952,871,230
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184470/1
Therefore the LCM of Fractions 26/952,55/871,129/230 is 184470
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 952,871,230 . The biggest common factor number is the GCF number.
So the greatest common factor 952,871,230 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 26/952, 55/871, 129/230?
Answer: LCM of Numerators as per given numbers 26/952, 55/871, 129/230 is
LCM of Numerators i.e. for 26,55,129 is 184470
GCF of denominators i.e. for 952,871,230 is 1.
Thus, LCM of Fractions is 184470.Finally, LCM of Fractions for 26/952, 55/871, 129/230 is 184470.