Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 314/205, 5987/541 quickly i.e. 1879918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 314/205, 5987/541 is 1879918.
LCM(314/205, 5987/541) = 1879918
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 314/205,5987/541
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 314,5987
Least Common Multiple of Numerators i.e. LCM of 314,5987 is 1879918.
GCF of Denominators means GCF of 205,541 as per the given fractions.
GCF of 205,541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 314,5987
Given numbers has no common factors except 1. So, there LCM is their product i.e 1879918
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 314,5987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,5987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,5987) x common factors =1 x 1 = 1
LCM(314,5987) = ( 314 × 5987 ) / 1
LCM(314,5987) = 1879918 / 1
LCM(314,5987) = 1879918
Lets's calculate GCF of 205,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1879918/1
Therefore the LCM of Fractions 314/205,5987/541 is 1879918
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Greatest Common Factor
We found the factors 205,541 . The biggest common factor number is the GCF number.
So the greatest common factor 205,541 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 314/205, 5987/541?
Answer: LCM of Numerators as per given numbers 314/205, 5987/541 is
LCM of Numerators i.e. for 314,5987 is 1879918
GCF of denominators i.e. for 205,541 is 1.
Thus, LCM of Fractions is 1879918.Finally, LCM of Fractions for 314/205, 5987/541 is 1879918.