Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/133, 41/436, 75/227 quickly i.e. 24600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/133, 41/436, 75/227 is 24600.
LCM(8/133, 41/436, 75/227) = 24600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/133,41/436,75/227
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 8,41,75
Least Common Multiple of Numerators i.e. LCM of 8,41,75 is 24600.
GCF of Denominators means GCF of 133,436,227 as per the given fractions.
GCF of 133,436,227 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,41,75
Given numbers has no common factors except 1. So, there LCM is their product i.e 24600
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 8,41,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,41,75) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,41,75) x common factors =1 x 1 = 1
LCM(8,41,75) = ( 8 × 41 × 75 ) / 1
LCM(8,41,75) = 24600 / 1
LCM(8,41,75) = 24600
Lets's calculate GCF of 133,436,227
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24600/1
Therefore the LCM of Fractions 8/133,41/436,75/227 is 24600
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Greatest Common Factor
We found the factors 133,436,227 . The biggest common factor number is the GCF number.
So the greatest common factor 133,436,227 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 8/133, 41/436, 75/227?
Answer: LCM of Numerators as per given numbers 8/133, 41/436, 75/227 is
LCM of Numerators i.e. for 8,41,75 is 24600
GCF of denominators i.e. for 133,436,227 is 1.
Thus, LCM of Fractions is 24600.Finally, LCM of Fractions for 8/133, 41/436, 75/227 is 24600.