Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 317/42, 6047/547 quickly i.e. 1916899 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 317/42, 6047/547 is 1916899.
LCM(317/42, 6047/547) = 1916899
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 317/42,6047/547
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 317,6047
Least Common Multiple of Numerators i.e. LCM of 317,6047 is 1916899.
GCF of Denominators means GCF of 42,547 as per the given fractions.
GCF of 42,547 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 317,6047
Given numbers has no common factors except 1. So, there LCM is their product i.e 1916899
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 317,6047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,6047) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,6047) x common factors =1 x 1 = 1
LCM(317,6047) = ( 317 × 6047 ) / 1
LCM(317,6047) = 1916899 / 1
LCM(317,6047) = 1916899
Lets's calculate GCF of 42,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1916899/1
Therefore the LCM of Fractions 317/42,6047/547 is 1916899
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Greatest Common Factor
We found the factors 42,547 . The biggest common factor number is the GCF number.
So the greatest common factor 42,547 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 317/42, 6047/547?
Answer: LCM of Numerators as per given numbers 317/42, 6047/547 is
LCM of Numerators i.e. for 317,6047 is 1916899
GCF of denominators i.e. for 42,547 is 1.
Thus, LCM of Fractions is 1916899.Finally, LCM of Fractions for 317/42, 6047/547 is 1916899.