Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 327/20, 706/5469 quickly i.e. 230862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 327/20, 706/5469 is 230862.
LCM(327/20, 706/5469) = 230862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 327/20,706/5469
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 327,706
Least Common Multiple of Numerators i.e. LCM of 327,706 is 230862.
GCF of Denominators means GCF of 20,5469 as per the given fractions.
GCF of 20,5469 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 327,706
Given numbers has no common factors except 1. So, there LCM is their product i.e 230862
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 327,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,706) x common factors =1 x 1 = 1
LCM(327,706) = ( 327 × 706 ) / 1
LCM(327,706) = 230862 / 1
LCM(327,706) = 230862
Lets's calculate GCF of 20,5469
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230862/1
Therefore the LCM of Fractions 327/20,706/5469 is 230862
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 5469
List of positive integer factors of 5469 that divides 5469 without a remainder.
1,3,1823,5469
Greatest Common Factor
We found the factors 20,5469 . The biggest common factor number is the GCF number.
So the greatest common factor 20,5469 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 327/20, 706/5469?
Answer: LCM of Numerators as per given numbers 327/20, 706/5469 is
LCM of Numerators i.e. for 327,706 is 230862
GCF of denominators i.e. for 20,5469 is 1.
Thus, LCM of Fractions is 230862.Finally, LCM of Fractions for 327/20, 706/5469 is 230862.