Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/819, 89/806 quickly i.e. 1869/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/819, 89/806 is 1869/13.
LCM(21/819, 89/806) = 1869/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/819,89/806
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 21,89
Least Common Multiple of Numerators i.e. LCM of 21,89 is 1869.
GCF of Denominators means GCF of 819,806 as per the given fractions.
GCF of 819,806 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 1869
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 21,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,89) x common factors =1 x 1 = 1
LCM(21,89) = ( 21 × 89 ) / 1
LCM(21,89) = 1869 / 1
LCM(21,89) = 1869
Lets's calculate GCF of 819,806
13 | 819, 806 |
63, 62 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1869/13
Therefore the LCM of Fractions 21/819,89/806 is 1869/13
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 819,806 . The biggest common factor number is the GCF number.
So the greatest common factor 819,806 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 21/819, 89/806?
Answer: LCM of Numerators as per given numbers 21/819, 89/806 is
LCM of Numerators i.e. for 21,89 is 1869
GCF of denominators i.e. for 819,806 is 13.
Thus, LCM of Fractions is 1869/13.Finally, LCM of Fractions for 21/819, 89/806 is 1869/13.