Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1513/539, 5806/5767 quickly i.e. 8784478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1513/539, 5806/5767 is 8784478.
LCM(1513/539, 5806/5767) = 8784478
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1513/539,5806/5767
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 1513,5806
Least Common Multiple of Numerators i.e. LCM of 1513,5806 is 8784478.
GCF of Denominators means GCF of 539,5767 as per the given fractions.
GCF of 539,5767 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1513,5806
Given numbers has no common factors except 1. So, there LCM is their product i.e 8784478
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 1513,5806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1513,5806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1513,5806) x common factors =1 x 1 = 1
LCM(1513,5806) = ( 1513 × 5806 ) / 1
LCM(1513,5806) = 8784478 / 1
LCM(1513,5806) = 8784478
Lets's calculate GCF of 539,5767
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8784478/1
Therefore the LCM of Fractions 1513/539,5806/5767 is 8784478
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 5767
List of positive integer factors of 5767 that divides 5767 without a remainder.
1,73,79,5767
Greatest Common Factor
We found the factors 539,5767 . The biggest common factor number is the GCF number.
So the greatest common factor 539,5767 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 1513/539, 5806/5767?
Answer: LCM of Numerators as per given numbers 1513/539, 5806/5767 is
LCM of Numerators i.e. for 1513,5806 is 8784478
GCF of denominators i.e. for 539,5767 is 1.
Thus, LCM of Fractions is 8784478.Finally, LCM of Fractions for 1513/539, 5806/5767 is 8784478.