Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 405/27, 314/2857 quickly i.e. 127170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 405/27, 314/2857 is 127170.
LCM(405/27, 314/2857) = 127170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 405/27,314/2857
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 405,314
Least Common Multiple of Numerators i.e. LCM of 405,314 is 127170.
GCF of Denominators means GCF of 27,2857 as per the given fractions.
GCF of 27,2857 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 405,314
Given numbers has no common factors except 1. So, there LCM is their product i.e 127170
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 405,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,314) x common factors =1 x 1 = 1
LCM(405,314) = ( 405 × 314 ) / 1
LCM(405,314) = 127170 / 1
LCM(405,314) = 127170
Lets's calculate GCF of 27,2857
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127170/1
Therefore the LCM of Fractions 405/27,314/2857 is 127170
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 2857
List of positive integer factors of 2857 that divides 2857 without a remainder.
1,2857
Greatest Common Factor
We found the factors 27,2857 . The biggest common factor number is the GCF number.
So the greatest common factor 27,2857 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 405/27, 314/2857?
Answer: LCM of Numerators as per given numbers 405/27, 314/2857 is
LCM of Numerators i.e. for 405,314 is 127170
GCF of denominators i.e. for 27,2857 is 1.
Thus, LCM of Fractions is 127170.Finally, LCM of Fractions for 405/27, 314/2857 is 127170.