Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 620/62, 393/9364 quickly i.e. 121830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 620/62, 393/9364 is 121830.
LCM(620/62, 393/9364) = 121830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 620/62,393/9364
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 620,393
Least Common Multiple of Numerators i.e. LCM of 620,393 is 243660.
GCF of Denominators means GCF of 62,9364 as per the given fractions.
GCF of 62,9364 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 620,393
Given numbers has no common factors except 1. So, there LCM is their product i.e 243660
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 620,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,393) x common factors =1 x 1 = 1
LCM(620,393) = ( 620 × 393 ) / 1
LCM(620,393) = 243660 / 1
LCM(620,393) = 243660
Lets's calculate GCF of 62,9364
2 | 62, 9364 |
31, 4682 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243660/2
Therefore the LCM of Fractions 620/62,393/9364 is 121830
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 9364
List of positive integer factors of 9364 that divides 9364 without a remainder.
1,2,4,2341,4682,9364
Greatest Common Factor
We found the factors 62,9364 . The biggest common factor number is the GCF number.
So the greatest common factor 62,9364 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 620/62, 393/9364?
Answer: LCM of Numerators as per given numbers 620/62, 393/9364 is
LCM of Numerators i.e. for 620,393 is 243660
GCF of denominators i.e. for 62,9364 is 2.
Thus, LCM of Fractions is 121830.Finally, LCM of Fractions for 620/62, 393/9364 is 121830.