Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 327/578, 1072/8479 quickly i.e. 350544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 327/578, 1072/8479 is 350544.
LCM(327/578, 1072/8479) = 350544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 327/578,1072/8479
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 327,1072
Least Common Multiple of Numerators i.e. LCM of 327,1072 is 350544.
GCF of Denominators means GCF of 578,8479 as per the given fractions.
GCF of 578,8479 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 327,1072
Given numbers has no common factors except 1. So, there LCM is their product i.e 350544
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 327,1072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,1072) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,1072) x common factors =1 x 1 = 1
LCM(327,1072) = ( 327 × 1072 ) / 1
LCM(327,1072) = 350544 / 1
LCM(327,1072) = 350544
Lets's calculate GCF of 578,8479
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350544/1
Therefore the LCM of Fractions 327/578,1072/8479 is 350544
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 8479
List of positive integer factors of 8479 that divides 8479 without a remainder.
1,61,139,8479
Greatest Common Factor
We found the factors 578,8479 . The biggest common factor number is the GCF number.
So the greatest common factor 578,8479 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 327/578, 1072/8479?
Answer: LCM of Numerators as per given numbers 327/578, 1072/8479 is
LCM of Numerators i.e. for 327,1072 is 350544
GCF of denominators i.e. for 578,8479 is 1.
Thus, LCM of Fractions is 350544.Finally, LCM of Fractions for 327/578, 1072/8479 is 350544.