Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 471/415, 6782/483 quickly i.e. 3194322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 471/415, 6782/483 is 3194322.
LCM(471/415, 6782/483) = 3194322
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 471/415,6782/483
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 471,6782
Least Common Multiple of Numerators i.e. LCM of 471,6782 is 3194322.
GCF of Denominators means GCF of 415,483 as per the given fractions.
GCF of 415,483 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 471,6782
Given numbers has no common factors except 1. So, there LCM is their product i.e 3194322
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 471,6782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,6782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,6782) x common factors =1 x 1 = 1
LCM(471,6782) = ( 471 × 6782 ) / 1
LCM(471,6782) = 3194322 / 1
LCM(471,6782) = 3194322
Lets's calculate GCF of 415,483
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3194322/1
Therefore the LCM of Fractions 471/415,6782/483 is 3194322
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 415,483 . The biggest common factor number is the GCF number.
So the greatest common factor 415,483 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 471/415, 6782/483?
Answer: LCM of Numerators as per given numbers 471/415, 6782/483 is
LCM of Numerators i.e. for 471,6782 is 3194322
GCF of denominators i.e. for 415,483 is 1.
Thus, LCM of Fractions is 3194322.Finally, LCM of Fractions for 471/415, 6782/483 is 3194322.