Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 390/593, 1446/565 quickly i.e. 93990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 390/593, 1446/565 is 93990.
LCM(390/593, 1446/565) = 93990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 390/593,1446/565
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 390,1446
Least Common Multiple of Numerators i.e. LCM of 390,1446 is 93990.
GCF of Denominators means GCF of 593,565 as per the given fractions.
GCF of 593,565 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 390,1446
2 | 390, 1446 |
3 | 195, 723 |
65, 241 |
∴ So the LCM of the given numbers is 2 x 3 x 65 x 241 = 93990
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 390,1446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,1446) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(390,1446) x common factors =6 x 1 = 6
LCM(390,1446) = ( 390 × 1446 ) / 6
LCM(390,1446) = 563940 / 6
LCM(390,1446) = 93990
Lets's calculate GCF of 593,565
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93990/1
Therefore the LCM of Fractions 390/593,1446/565 is 93990
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Greatest Common Factor
We found the factors 593,565 . The biggest common factor number is the GCF number.
So the greatest common factor 593,565 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 390/593, 1446/565?
Answer: LCM of Numerators as per given numbers 390/593, 1446/565 is
LCM of Numerators i.e. for 390,1446 is 93990
GCF of denominators i.e. for 593,565 is 1.
Thus, LCM of Fractions is 93990.Finally, LCM of Fractions for 390/593, 1446/565 is 93990.