Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/227, 96/275, 481/959 quickly i.e. 1339104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/227, 96/275, 481/959 is 1339104.
LCM(29/227, 96/275, 481/959) = 1339104
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/227,96/275,481/959
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 29,96,481
Least Common Multiple of Numerators i.e. LCM of 29,96,481 is 1339104.
GCF of Denominators means GCF of 227,275,959 as per the given fractions.
GCF of 227,275,959 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,96,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 1339104
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 29,96,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,96,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,96,481) x common factors =1 x 1 = 1
LCM(29,96,481) = ( 29 × 96 × 481 ) / 1
LCM(29,96,481) = 1339104 / 1
LCM(29,96,481) = 1339104
Lets's calculate GCF of 227,275,959
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1339104/1
Therefore the LCM of Fractions 29/227,96/275,481/959 is 1339104
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Greatest Common Factor
We found the factors 227,275,959 . The biggest common factor number is the GCF number.
So the greatest common factor 227,275,959 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 29/227, 96/275, 481/959?
Answer: LCM of Numerators as per given numbers 29/227, 96/275, 481/959 is
LCM of Numerators i.e. for 29,96,481 is 1339104
GCF of denominators i.e. for 227,275,959 is 1.
Thus, LCM of Fractions is 1339104.Finally, LCM of Fractions for 29/227, 96/275, 481/959 is 1339104.