Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 209/418, 8621/8406 quickly i.e. 1801789/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 209/418, 8621/8406 is 1801789/2.
LCM(209/418, 8621/8406) = 1801789/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 209/418,8621/8406
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 209,8621
Least Common Multiple of Numerators i.e. LCM of 209,8621 is 1801789.
GCF of Denominators means GCF of 418,8406 as per the given fractions.
GCF of 418,8406 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 209,8621
Given numbers has no common factors except 1. So, there LCM is their product i.e 1801789
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 209,8621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,8621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,8621) x common factors =1 x 1 = 1
LCM(209,8621) = ( 209 × 8621 ) / 1
LCM(209,8621) = 1801789 / 1
LCM(209,8621) = 1801789
Lets's calculate GCF of 418,8406
2 | 418, 8406 |
209, 4203 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1801789/2
Therefore the LCM of Fractions 209/418,8621/8406 is 1801789/2
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 8406
List of positive integer factors of 8406 that divides 8406 without a remainder.
1,2,3,6,9,18,467,934,1401,2802,4203,8406
Greatest Common Factor
We found the factors 418,8406 . The biggest common factor number is the GCF number.
So the greatest common factor 418,8406 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 209/418, 8621/8406?
Answer: LCM of Numerators as per given numbers 209/418, 8621/8406 is
LCM of Numerators i.e. for 209,8621 is 1801789
GCF of denominators i.e. for 418,8406 is 2.
Thus, LCM of Fractions is 1801789/2.Finally, LCM of Fractions for 209/418, 8621/8406 is 1801789/2.