Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 219/289, 573/204, 499/840 quickly i.e. 20872671 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 219/289, 573/204, 499/840 is 20872671.
LCM(219/289, 573/204, 499/840) = 20872671
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 219/289,573/204,499/840
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 219,573,499
Least Common Multiple of Numerators i.e. LCM of 219,573,499 is 20872671.
GCF of Denominators means GCF of 289,204,840 as per the given fractions.
GCF of 289,204,840 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 219,573,499
3 | 219, 573, 499 |
73, 191, 499 |
∴ So the LCM of the given numbers is 3 x 73 x 191 x 499 = 20872671
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 219,573,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,573,499) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(219,573,499) x common factors =1 x 3 = 3
LCM(219,573,499) = ( 219 × 573 × 499 ) / 3
LCM(219,573,499) = 62618013 / 3
LCM(219,573,499) = 20872671
Lets's calculate GCF of 289,204,840
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20872671/1
Therefore the LCM of Fractions 219/289,573/204,499/840 is 20872671
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 289,204,840 . The biggest common factor number is the GCF number.
So the greatest common factor 289,204,840 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 219/289, 573/204, 499/840?
Answer: LCM of Numerators as per given numbers 219/289, 573/204, 499/840 is
LCM of Numerators i.e. for 219,573,499 is 20872671
GCF of denominators i.e. for 289,204,840 is 1.
Thus, LCM of Fractions is 20872671.Finally, LCM of Fractions for 219/289, 573/204, 499/840 is 20872671.