Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/829, 29/135, 457/173 quickly i.e. 967469 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/829, 29/135, 457/173 is 967469.
LCM(73/829, 29/135, 457/173) = 967469
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/829,29/135,457/173
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 73,29,457
Least Common Multiple of Numerators i.e. LCM of 73,29,457 is 967469.
GCF of Denominators means GCF of 829,135,173 as per the given fractions.
GCF of 829,135,173 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,29,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 967469
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 73,29,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,29,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,29,457) x common factors =1 x 1 = 1
LCM(73,29,457) = ( 73 × 29 × 457 ) / 1
LCM(73,29,457) = 967469 / 1
LCM(73,29,457) = 967469
Lets's calculate GCF of 829,135,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 967469/1
Therefore the LCM of Fractions 73/829,29/135,457/173 is 967469
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Greatest Common Factor
We found the factors 829,135,173 . The biggest common factor number is the GCF number.
So the greatest common factor 829,135,173 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 73/829, 29/135, 457/173?
Answer: LCM of Numerators as per given numbers 73/829, 29/135, 457/173 is
LCM of Numerators i.e. for 73,29,457 is 967469
GCF of denominators i.e. for 829,135,173 is 1.
Thus, LCM of Fractions is 967469.Finally, LCM of Fractions for 73/829, 29/135, 457/173 is 967469.