Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 593/270, 873/849, 940/197 quickly i.e. 486627660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 593/270, 873/849, 940/197 is 486627660.
LCM(593/270, 873/849, 940/197) = 486627660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 593/270,873/849,940/197
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 593,873,940
Least Common Multiple of Numerators i.e. LCM of 593,873,940 is 486627660.
GCF of Denominators means GCF of 270,849,197 as per the given fractions.
GCF of 270,849,197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 593,873,940
Given numbers has no common factors except 1. So, there LCM is their product i.e 486627660
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 593,873,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,873,940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,873,940) x common factors =1 x 1 = 1
LCM(593,873,940) = ( 593 × 873 × 940 ) / 1
LCM(593,873,940) = 486627660 / 1
LCM(593,873,940) = 486627660
Lets's calculate GCF of 270,849,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 486627660/1
Therefore the LCM of Fractions 593/270,873/849,940/197 is 486627660
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 270,849,197 . The biggest common factor number is the GCF number.
So the greatest common factor 270,849,197 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 593/270, 873/849, 940/197?
Answer: LCM of Numerators as per given numbers 593/270, 873/849, 940/197 is
LCM of Numerators i.e. for 593,873,940 is 486627660
GCF of denominators i.e. for 270,849,197 is 1.
Thus, LCM of Fractions is 486627660.Finally, LCM of Fractions for 593/270, 873/849, 940/197 is 486627660.