Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8731/866, 6797/598 quickly i.e. 59344607/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8731/866, 6797/598 is 59344607/2.
LCM(8731/866, 6797/598) = 59344607/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8731/866,6797/598
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 8731,6797
Least Common Multiple of Numerators i.e. LCM of 8731,6797 is 59344607.
GCF of Denominators means GCF of 866,598 as per the given fractions.
GCF of 866,598 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8731,6797
Given numbers has no common factors except 1. So, there LCM is their product i.e 59344607
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 8731,6797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8731,6797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8731,6797) x common factors =1 x 1 = 1
LCM(8731,6797) = ( 8731 × 6797 ) / 1
LCM(8731,6797) = 59344607 / 1
LCM(8731,6797) = 59344607
Lets's calculate GCF of 866,598
2 | 866, 598 |
433, 299 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59344607/2
Therefore the LCM of Fractions 8731/866,6797/598 is 59344607/2
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 866,598 . The biggest common factor number is the GCF number.
So the greatest common factor 866,598 is 2.
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 8731/866, 6797/598?
Answer: LCM of Numerators as per given numbers 8731/866, 6797/598 is
LCM of Numerators i.e. for 8731,6797 is 59344607
GCF of denominators i.e. for 866,598 is 2.
Thus, LCM of Fractions is 59344607/2.Finally, LCM of Fractions for 8731/866, 6797/598 is 59344607/2.