Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2066/621, 5994/393 quickly i.e. 2063934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2066/621, 5994/393 is 2063934.
LCM(2066/621, 5994/393) = 2063934
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2066/621,5994/393
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 2066,5994
Least Common Multiple of Numerators i.e. LCM of 2066,5994 is 6191802.
GCF of Denominators means GCF of 621,393 as per the given fractions.
GCF of 621,393 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2066,5994
2 | 2066, 5994 |
1033, 2997 |
∴ So the LCM of the given numbers is 2 x 1033 x 2997 = 6191802
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 2066,5994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2066,5994) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2066,5994) x common factors =2 x 1 = 2
LCM(2066,5994) = ( 2066 × 5994 ) / 2
LCM(2066,5994) = 12383604 / 2
LCM(2066,5994) = 6191802
Lets's calculate GCF of 621,393
3 | 621, 393 |
207, 131 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6191802/3
Therefore the LCM of Fractions 2066/621,5994/393 is 2063934
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Greatest Common Factor
We found the factors 621,393 . The biggest common factor number is the GCF number.
So the greatest common factor 621,393 is 3.
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 2066/621, 5994/393?
Answer: LCM of Numerators as per given numbers 2066/621, 5994/393 is
LCM of Numerators i.e. for 2066,5994 is 6191802
GCF of denominators i.e. for 621,393 is 3.
Thus, LCM of Fractions is 2063934.Finally, LCM of Fractions for 2066/621, 5994/393 is 2063934.