Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/582, 11/995, 677/195 quickly i.e. 201069 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/582, 11/995, 677/195 is 201069.
LCM(27/582, 11/995, 677/195) = 201069
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/582,11/995,677/195
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 27,11,677
Least Common Multiple of Numerators i.e. LCM of 27,11,677 is 201069.
GCF of Denominators means GCF of 582,995,195 as per the given fractions.
GCF of 582,995,195 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,11,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 201069
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 27,11,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,11,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,11,677) x common factors =1 x 1 = 1
LCM(27,11,677) = ( 27 × 11 × 677 ) / 1
LCM(27,11,677) = 201069 / 1
LCM(27,11,677) = 201069
Lets's calculate GCF of 582,995,195
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201069/1
Therefore the LCM of Fractions 27/582,11/995,677/195 is 201069
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 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 582,995,195 . The biggest common factor number is the GCF number.
So the greatest common factor 582,995,195 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 27/582, 11/995, 677/195?
Answer: LCM of Numerators as per given numbers 27/582, 11/995, 677/195 is
LCM of Numerators i.e. for 27,11,677 is 201069
GCF of denominators i.e. for 582,995,195 is 1.
Thus, LCM of Fractions is 201069.Finally, LCM of Fractions for 27/582, 11/995, 677/195 is 201069.