Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/582, 411/764, 191/163 quickly i.e. 5338068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/582, 411/764, 191/163 is 5338068.
LCM(68/582, 411/764, 191/163) = 5338068
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/582,411/764,191/163
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 68,411,191
Least Common Multiple of Numerators i.e. LCM of 68,411,191 is 5338068.
GCF of Denominators means GCF of 582,764,163 as per the given fractions.
GCF of 582,764,163 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,411,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 5338068
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 68,411,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,411,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,411,191) x common factors =1 x 1 = 1
LCM(68,411,191) = ( 68 × 411 × 191 ) / 1
LCM(68,411,191) = 5338068 / 1
LCM(68,411,191) = 5338068
Lets's calculate GCF of 582,764,163
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5338068/1
Therefore the LCM of Fractions 68/582,411/764,191/163 is 5338068
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Greatest Common Factor
We found the factors 582,764,163 . The biggest common factor number is the GCF number.
So the greatest common factor 582,764,163 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 68/582, 411/764, 191/163?
Answer: LCM of Numerators as per given numbers 68/582, 411/764, 191/163 is
LCM of Numerators i.e. for 68,411,191 is 5338068
GCF of denominators i.e. for 582,764,163 is 1.
Thus, LCM of Fractions is 5338068.Finally, LCM of Fractions for 68/582, 411/764, 191/163 is 5338068.