Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 689/323, 9744/886 quickly i.e. 6713616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 689/323, 9744/886 is 6713616.
LCM(689/323, 9744/886) = 6713616
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 689/323,9744/886
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 689,9744
Least Common Multiple of Numerators i.e. LCM of 689,9744 is 6713616.
GCF of Denominators means GCF of 323,886 as per the given fractions.
GCF of 323,886 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 689,9744
Given numbers has no common factors except 1. So, there LCM is their product i.e 6713616
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 689,9744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,9744) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,9744) x common factors =1 x 1 = 1
LCM(689,9744) = ( 689 × 9744 ) / 1
LCM(689,9744) = 6713616 / 1
LCM(689,9744) = 6713616
Lets's calculate GCF of 323,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6713616/1
Therefore the LCM of Fractions 689/323,9744/886 is 6713616
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Greatest Common Factor
We found the factors 323,886 . The biggest common factor number is the GCF number.
So the greatest common factor 323,886 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 689/323, 9744/886?
Answer: LCM of Numerators as per given numbers 689/323, 9744/886 is
LCM of Numerators i.e. for 689,9744 is 6713616
GCF of denominators i.e. for 323,886 is 1.
Thus, LCM of Fractions is 6713616.Finally, LCM of Fractions for 689/323, 9744/886 is 6713616.