Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/814, 9324/9829 quickly i.e. 606060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/814, 9324/9829 is 606060.
LCM(65/814, 9324/9829) = 606060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/814,9324/9829
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 65,9324
Least Common Multiple of Numerators i.e. LCM of 65,9324 is 606060.
GCF of Denominators means GCF of 814,9829 as per the given fractions.
GCF of 814,9829 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,9324
Given numbers has no common factors except 1. So, there LCM is their product i.e 606060
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 65,9324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,9324) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,9324) x common factors =1 x 1 = 1
LCM(65,9324) = ( 65 × 9324 ) / 1
LCM(65,9324) = 606060 / 1
LCM(65,9324) = 606060
Lets's calculate GCF of 814,9829
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 606060/1
Therefore the LCM of Fractions 65/814,9324/9829 is 606060
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Factors of 9829
List of positive integer factors of 9829 that divides 9829 without a remainder.
1,9829
Greatest Common Factor
We found the factors 814,9829 . The biggest common factor number is the GCF number.
So the greatest common factor 814,9829 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 65/814, 9324/9829?
Answer: LCM of Numerators as per given numbers 65/814, 9324/9829 is
LCM of Numerators i.e. for 65,9324 is 606060
GCF of denominators i.e. for 814,9829 is 1.
Thus, LCM of Fractions is 606060.Finally, LCM of Fractions for 65/814, 9324/9829 is 606060.