Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/793, 11/583, 413/313 quickly i.e. 245322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/793, 11/583, 413/313 is 245322.
LCM(54/793, 11/583, 413/313) = 245322
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/793,11/583,413/313
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 54,11,413
Least Common Multiple of Numerators i.e. LCM of 54,11,413 is 245322.
GCF of Denominators means GCF of 793,583,313 as per the given fractions.
GCF of 793,583,313 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,11,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 245322
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 54,11,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,11,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,11,413) x common factors =1 x 1 = 1
LCM(54,11,413) = ( 54 × 11 × 413 ) / 1
LCM(54,11,413) = 245322 / 1
LCM(54,11,413) = 245322
Lets's calculate GCF of 793,583,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245322/1
Therefore the LCM of Fractions 54/793,11/583,413/313 is 245322
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Greatest Common Factor
We found the factors 793,583,313 . The biggest common factor number is the GCF number.
So the greatest common factor 793,583,313 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 54/793, 11/583, 413/313?
Answer: LCM of Numerators as per given numbers 54/793, 11/583, 413/313 is
LCM of Numerators i.e. for 54,11,413 is 245322
GCF of denominators i.e. for 793,583,313 is 1.
Thus, LCM of Fractions is 245322.Finally, LCM of Fractions for 54/793, 11/583, 413/313 is 245322.