Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9193/594, 6570/343 quickly i.e. 60398010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9193/594, 6570/343 is 60398010.
LCM(9193/594, 6570/343) = 60398010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9193/594,6570/343
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 9193,6570
Least Common Multiple of Numerators i.e. LCM of 9193,6570 is 60398010.
GCF of Denominators means GCF of 594,343 as per the given fractions.
GCF of 594,343 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9193,6570
Given numbers has no common factors except 1. So, there LCM is their product i.e 60398010
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 9193,6570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9193,6570) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9193,6570) x common factors =1 x 1 = 1
LCM(9193,6570) = ( 9193 × 6570 ) / 1
LCM(9193,6570) = 60398010 / 1
LCM(9193,6570) = 60398010
Lets's calculate GCF of 594,343
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60398010/1
Therefore the LCM of Fractions 9193/594,6570/343 is 60398010
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 343
List of positive integer factors of 343 that divides 343 without a remainder.
1,7,49,343
Greatest Common Factor
We found the factors 594,343 . The biggest common factor number is the GCF number.
So the greatest common factor 594,343 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 9193/594, 6570/343?
Answer: LCM of Numerators as per given numbers 9193/594, 6570/343 is
LCM of Numerators i.e. for 9193,6570 is 60398010
GCF of denominators i.e. for 594,343 is 1.
Thus, LCM of Fractions is 60398010.Finally, LCM of Fractions for 9193/594, 6570/343 is 60398010.