Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/773, 6806/6733 quickly i.e. 483226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/773, 6806/6733 is 483226.
LCM(71/773, 6806/6733) = 483226
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/773,6806/6733
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 71,6806
Least Common Multiple of Numerators i.e. LCM of 71,6806 is 483226.
GCF of Denominators means GCF of 773,6733 as per the given fractions.
GCF of 773,6733 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,6806
Given numbers has no common factors except 1. So, there LCM is their product i.e 483226
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 71,6806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,6806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,6806) x common factors =1 x 1 = 1
LCM(71,6806) = ( 71 × 6806 ) / 1
LCM(71,6806) = 483226 / 1
LCM(71,6806) = 483226
Lets's calculate GCF of 773,6733
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 483226/1
Therefore the LCM of Fractions 71/773,6806/6733 is 483226
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Factors of 6733
List of positive integer factors of 6733 that divides 6733 without a remainder.
1,6733
Greatest Common Factor
We found the factors 773,6733 . The biggest common factor number is the GCF number.
So the greatest common factor 773,6733 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 71/773, 6806/6733?
Answer: LCM of Numerators as per given numbers 71/773, 6806/6733 is
LCM of Numerators i.e. for 71,6806 is 483226
GCF of denominators i.e. for 773,6733 is 1.
Thus, LCM of Fractions is 483226.Finally, LCM of Fractions for 71/773, 6806/6733 is 483226.