Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 204/806, 7817/429 quickly i.e. 1594668/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 204/806, 7817/429 is 1594668/13.
LCM(204/806, 7817/429) = 1594668/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 204/806,7817/429
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 204,7817
Least Common Multiple of Numerators i.e. LCM of 204,7817 is 1594668.
GCF of Denominators means GCF of 806,429 as per the given fractions.
GCF of 806,429 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 204,7817
Given numbers has no common factors except 1. So, there LCM is their product i.e 1594668
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 204,7817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,7817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,7817) x common factors =1 x 1 = 1
LCM(204,7817) = ( 204 × 7817 ) / 1
LCM(204,7817) = 1594668 / 1
LCM(204,7817) = 1594668
Lets's calculate GCF of 806,429
13 | 806, 429 |
62, 33 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1594668/13
Therefore the LCM of Fractions 204/806,7817/429 is 1594668/13
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 806,429 . The biggest common factor number is the GCF number.
So the greatest common factor 806,429 is 13.
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 204/806, 7817/429?
Answer: LCM of Numerators as per given numbers 204/806, 7817/429 is
LCM of Numerators i.e. for 204,7817 is 1594668
GCF of denominators i.e. for 806,429 is 13.
Thus, LCM of Fractions is 1594668/13.Finally, LCM of Fractions for 204/806, 7817/429 is 1594668/13.