Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 713/73, 829/2585 quickly i.e. 591077 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 713/73, 829/2585 is 591077.
LCM(713/73, 829/2585) = 591077
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 713/73,829/2585
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 713,829
Least Common Multiple of Numerators i.e. LCM of 713,829 is 591077.
GCF of Denominators means GCF of 73,2585 as per the given fractions.
GCF of 73,2585 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 713,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 591077
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 713,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,829) x common factors =1 x 1 = 1
LCM(713,829) = ( 713 × 829 ) / 1
LCM(713,829) = 591077 / 1
LCM(713,829) = 591077
Lets's calculate GCF of 73,2585
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 591077/1
Therefore the LCM of Fractions 713/73,829/2585 is 591077
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 2585
List of positive integer factors of 2585 that divides 2585 without a remainder.
1,5,11,47,55,235,517,2585
Greatest Common Factor
We found the factors 73,2585 . The biggest common factor number is the GCF number.
So the greatest common factor 73,2585 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 713/73, 829/2585?
Answer: LCM of Numerators as per given numbers 713/73, 829/2585 is
LCM of Numerators i.e. for 713,829 is 591077
GCF of denominators i.e. for 73,2585 is 1.
Thus, LCM of Fractions is 591077.Finally, LCM of Fractions for 713/73, 829/2585 is 591077.