Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 327/54, 148/419 quickly i.e. 48396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 327/54, 148/419 is 48396.
LCM(327/54, 148/419) = 48396
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 327/54,148/419
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 327,148
Least Common Multiple of Numerators i.e. LCM of 327,148 is 48396.
GCF of Denominators means GCF of 54,419 as per the given fractions.
GCF of 54,419 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 327,148
Given numbers has no common factors except 1. So, there LCM is their product i.e 48396
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 327,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,148) x common factors =1 x 1 = 1
LCM(327,148) = ( 327 × 148 ) / 1
LCM(327,148) = 48396 / 1
LCM(327,148) = 48396
Lets's calculate GCF of 54,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48396/1
Therefore the LCM of Fractions 327/54,148/419 is 48396
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Greatest Common Factor
We found the factors 54,419 . The biggest common factor number is the GCF number.
So the greatest common factor 54,419 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 327/54, 148/419?
Answer: LCM of Numerators as per given numbers 327/54, 148/419 is
LCM of Numerators i.e. for 327,148 is 48396
GCF of denominators i.e. for 54,419 is 1.
Thus, LCM of Fractions is 48396.Finally, LCM of Fractions for 327/54, 148/419 is 48396.