Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 209/687, 404/519 quickly i.e. 84436/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 209/687, 404/519 is 84436/3.
LCM(209/687, 404/519) = 84436/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 209/687,404/519
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 209,404
Least Common Multiple of Numerators i.e. LCM of 209,404 is 84436.
GCF of Denominators means GCF of 687,519 as per the given fractions.
GCF of 687,519 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 209,404
Given numbers has no common factors except 1. So, there LCM is their product i.e 84436
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 209,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,404) x common factors =1 x 1 = 1
LCM(209,404) = ( 209 × 404 ) / 1
LCM(209,404) = 84436 / 1
LCM(209,404) = 84436
Lets's calculate GCF of 687,519
3 | 687, 519 |
229, 173 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84436/3
Therefore the LCM of Fractions 209/687,404/519 is 84436/3
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 687,519 . The biggest common factor number is the GCF number.
So the greatest common factor 687,519 is 3.
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 209/687, 404/519?
Answer: LCM of Numerators as per given numbers 209/687, 404/519 is
LCM of Numerators i.e. for 209,404 is 84436
GCF of denominators i.e. for 687,519 is 3.
Thus, LCM of Fractions is 84436/3.Finally, LCM of Fractions for 209/687, 404/519 is 84436/3.