Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9731/866, 1794/203 quickly i.e. 17457414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9731/866, 1794/203 is 17457414.
LCM(9731/866, 1794/203) = 17457414
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9731/866,1794/203
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 9731,1794
Least Common Multiple of Numerators i.e. LCM of 9731,1794 is 17457414.
GCF of Denominators means GCF of 866,203 as per the given fractions.
GCF of 866,203 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9731,1794
Given numbers has no common factors except 1. So, there LCM is their product i.e 17457414
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 9731,1794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9731,1794) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9731,1794) x common factors =1 x 1 = 1
LCM(9731,1794) = ( 9731 × 1794 ) / 1
LCM(9731,1794) = 17457414 / 1
LCM(9731,1794) = 17457414
Lets's calculate GCF of 866,203
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17457414/1
Therefore the LCM of Fractions 9731/866,1794/203 is 17457414
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Greatest Common Factor
We found the factors 866,203 . The biggest common factor number is the GCF number.
So the greatest common factor 866,203 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 9731/866, 1794/203?
Answer: LCM of Numerators as per given numbers 9731/866, 1794/203 is
LCM of Numerators i.e. for 9731,1794 is 17457414
GCF of denominators i.e. for 866,203 is 1.
Thus, LCM of Fractions is 17457414.Finally, LCM of Fractions for 9731/866, 1794/203 is 17457414.