Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3062/320, 2413/9182 quickly i.e. 3694303 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3062/320, 2413/9182 is 3694303.
LCM(3062/320, 2413/9182) = 3694303
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3062/320,2413/9182
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 3062,2413
Least Common Multiple of Numerators i.e. LCM of 3062,2413 is 7388606.
GCF of Denominators means GCF of 320,9182 as per the given fractions.
GCF of 320,9182 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3062,2413
Given numbers has no common factors except 1. So, there LCM is their product i.e 7388606
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 3062,2413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3062,2413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3062,2413) x common factors =1 x 1 = 1
LCM(3062,2413) = ( 3062 × 2413 ) / 1
LCM(3062,2413) = 7388606 / 1
LCM(3062,2413) = 7388606
Lets's calculate GCF of 320,9182
2 | 320, 9182 |
160, 4591 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7388606/2
Therefore the LCM of Fractions 3062/320,2413/9182 is 3694303
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 9182
List of positive integer factors of 9182 that divides 9182 without a remainder.
1,2,4591,9182
Greatest Common Factor
We found the factors 320,9182 . The biggest common factor number is the GCF number.
So the greatest common factor 320,9182 is 2.
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 3062/320, 2413/9182?
Answer: LCM of Numerators as per given numbers 3062/320, 2413/9182 is
LCM of Numerators i.e. for 3062,2413 is 7388606
GCF of denominators i.e. for 320,9182 is 2.
Thus, LCM of Fractions is 3694303.Finally, LCM of Fractions for 3062/320, 2413/9182 is 3694303.