Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5284/561, 3231/999 quickly i.e. 5690868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5284/561, 3231/999 is 5690868.
LCM(5284/561, 3231/999) = 5690868
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5284/561,3231/999
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 5284,3231
Least Common Multiple of Numerators i.e. LCM of 5284,3231 is 17072604.
GCF of Denominators means GCF of 561,999 as per the given fractions.
GCF of 561,999 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5284,3231
Given numbers has no common factors except 1. So, there LCM is their product i.e 17072604
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 5284,3231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5284,3231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5284,3231) x common factors =1 x 1 = 1
LCM(5284,3231) = ( 5284 × 3231 ) / 1
LCM(5284,3231) = 17072604 / 1
LCM(5284,3231) = 17072604
Lets's calculate GCF of 561,999
3 | 561, 999 |
187, 333 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17072604/3
Therefore the LCM of Fractions 5284/561,3231/999 is 5690868
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 561,999 . The biggest common factor number is the GCF number.
So the greatest common factor 561,999 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 5284/561, 3231/999?
Answer: LCM of Numerators as per given numbers 5284/561, 3231/999 is
LCM of Numerators i.e. for 5284,3231 is 17072604
GCF of denominators i.e. for 561,999 is 3.
Thus, LCM of Fractions is 5690868.Finally, LCM of Fractions for 5284/561, 3231/999 is 5690868.