Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/509, 2892/4047 quickly i.e. 124356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/509, 2892/4047 is 124356.
LCM(86/509, 2892/4047) = 124356
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/509,2892/4047
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 86,2892
Least Common Multiple of Numerators i.e. LCM of 86,2892 is 124356.
GCF of Denominators means GCF of 509,4047 as per the given fractions.
GCF of 509,4047 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,2892
2 | 86, 2892 |
43, 1446 |
∴ So the LCM of the given numbers is 2 x 43 x 1446 = 124356
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 86,2892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,2892) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,2892) x common factors =2 x 1 = 2
LCM(86,2892) = ( 86 × 2892 ) / 2
LCM(86,2892) = 248712 / 2
LCM(86,2892) = 124356
Lets's calculate GCF of 509,4047
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124356/1
Therefore the LCM of Fractions 86/509,2892/4047 is 124356
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Factors of 4047
List of positive integer factors of 4047 that divides 4047 without a remainder.
1,3,19,57,71,213,1349,4047
Greatest Common Factor
We found the factors 509,4047 . The biggest common factor number is the GCF number.
So the greatest common factor 509,4047 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 86/509, 2892/4047?
Answer: LCM of Numerators as per given numbers 86/509, 2892/4047 is
LCM of Numerators i.e. for 86,2892 is 124356
GCF of denominators i.e. for 509,4047 is 1.
Thus, LCM of Fractions is 124356.Finally, LCM of Fractions for 86/509, 2892/4047 is 124356.