Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/133, 28/472 quickly i.e. 812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/133, 28/472 is 812.
LCM(29/133, 28/472) = 812
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/133,28/472
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 29,28
Least Common Multiple of Numerators i.e. LCM of 29,28 is 812.
GCF of Denominators means GCF of 133,472 as per the given fractions.
GCF of 133,472 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,28
Given numbers has no common factors except 1. So, there LCM is their product i.e 812
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 29,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,28) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,28) x common factors =1 x 1 = 1
LCM(29,28) = ( 29 × 28 ) / 1
LCM(29,28) = 812 / 1
LCM(29,28) = 812
Lets's calculate GCF of 133,472
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 812/1
Therefore the LCM of Fractions 29/133,28/472 is 812
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 133,472 . The biggest common factor number is the GCF number.
So the greatest common factor 133,472 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 29/133, 28/472?
Answer: LCM of Numerators as per given numbers 29/133, 28/472 is
LCM of Numerators i.e. for 29,28 is 812
GCF of denominators i.e. for 133,472 is 1.
Thus, LCM of Fractions is 812.Finally, LCM of Fractions for 29/133, 28/472 is 812.