Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/773, 6422/1293 quickly i.e. 38532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/773, 6422/1293 is 38532.
LCM(12/773, 6422/1293) = 38532
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/773,6422/1293
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 12,6422
Least Common Multiple of Numerators i.e. LCM of 12,6422 is 38532.
GCF of Denominators means GCF of 773,1293 as per the given fractions.
GCF of 773,1293 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,6422
2 | 12, 6422 |
6, 3211 |
∴ So the LCM of the given numbers is 2 x 6 x 3211 = 38532
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 12,6422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,6422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(12,6422) x common factors =2 x 1 = 2
LCM(12,6422) = ( 12 × 6422 ) / 2
LCM(12,6422) = 77064 / 2
LCM(12,6422) = 38532
Lets's calculate GCF of 773,1293
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38532/1
Therefore the LCM of Fractions 12/773,6422/1293 is 38532
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Factors of 1293
List of positive integer factors of 1293 that divides 1293 without a remainder.
1,3,431,1293
Greatest Common Factor
We found the factors 773,1293 . The biggest common factor number is the GCF number.
So the greatest common factor 773,1293 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 12/773, 6422/1293?
Answer: LCM of Numerators as per given numbers 12/773, 6422/1293 is
LCM of Numerators i.e. for 12,6422 is 38532
GCF of denominators i.e. for 773,1293 is 1.
Thus, LCM of Fractions is 38532.Finally, LCM of Fractions for 12/773, 6422/1293 is 38532.