Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 589/799, 3228/1106 quickly i.e. 1901292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 589/799, 3228/1106 is 1901292.
LCM(589/799, 3228/1106) = 1901292
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 589/799,3228/1106
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 589,3228
Least Common Multiple of Numerators i.e. LCM of 589,3228 is 1901292.
GCF of Denominators means GCF of 799,1106 as per the given fractions.
GCF of 799,1106 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 589,3228
Given numbers has no common factors except 1. So, there LCM is their product i.e 1901292
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 589,3228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,3228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,3228) x common factors =1 x 1 = 1
LCM(589,3228) = ( 589 × 3228 ) / 1
LCM(589,3228) = 1901292 / 1
LCM(589,3228) = 1901292
Lets's calculate GCF of 799,1106
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1901292/1
Therefore the LCM of Fractions 589/799,3228/1106 is 1901292
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 1106
List of positive integer factors of 1106 that divides 1106 without a remainder.
1,2,7,14,79,158,553,1106
Greatest Common Factor
We found the factors 799,1106 . The biggest common factor number is the GCF number.
So the greatest common factor 799,1106 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 589/799, 3228/1106?
Answer: LCM of Numerators as per given numbers 589/799, 3228/1106 is
LCM of Numerators i.e. for 589,3228 is 1901292
GCF of denominators i.e. for 799,1106 is 1.
Thus, LCM of Fractions is 1901292.Finally, LCM of Fractions for 589/799, 3228/1106 is 1901292.