Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5391/123, 3227/4997 quickly i.e. 17396757 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5391/123, 3227/4997 is 17396757.
LCM(5391/123, 3227/4997) = 17396757
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5391/123,3227/4997
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 5391,3227
Least Common Multiple of Numerators i.e. LCM of 5391,3227 is 17396757.
GCF of Denominators means GCF of 123,4997 as per the given fractions.
GCF of 123,4997 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5391,3227
Given numbers has no common factors except 1. So, there LCM is their product i.e 17396757
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 5391,3227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5391,3227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5391,3227) x common factors =1 x 1 = 1
LCM(5391,3227) = ( 5391 × 3227 ) / 1
LCM(5391,3227) = 17396757 / 1
LCM(5391,3227) = 17396757
Lets's calculate GCF of 123,4997
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17396757/1
Therefore the LCM of Fractions 5391/123,3227/4997 is 17396757
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Factors of 4997
List of positive integer factors of 4997 that divides 4997 without a remainder.
1,19,263,4997
Greatest Common Factor
We found the factors 123,4997 . The biggest common factor number is the GCF number.
So the greatest common factor 123,4997 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 5391/123, 3227/4997?
Answer: LCM of Numerators as per given numbers 5391/123, 3227/4997 is
LCM of Numerators i.e. for 5391,3227 is 17396757
GCF of denominators i.e. for 123,4997 is 1.
Thus, LCM of Fractions is 17396757.Finally, LCM of Fractions for 5391/123, 3227/4997 is 17396757.