Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6487/541, 6136/9345 quickly i.e. 3061864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6487/541, 6136/9345 is 3061864.
LCM(6487/541, 6136/9345) = 3061864
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6487/541,6136/9345
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 6487,6136
Least Common Multiple of Numerators i.e. LCM of 6487,6136 is 3061864.
GCF of Denominators means GCF of 541,9345 as per the given fractions.
GCF of 541,9345 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6487,6136
13 | 6487, 6136 |
499, 472 |
∴ So the LCM of the given numbers is 13 x 499 x 472 = 3061864
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 6487,6136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6487,6136) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(6487,6136) x common factors =13 x 1 = 13
LCM(6487,6136) = ( 6487 × 6136 ) / 13
LCM(6487,6136) = 39804232 / 13
LCM(6487,6136) = 3061864
Lets's calculate GCF of 541,9345
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3061864/1
Therefore the LCM of Fractions 6487/541,6136/9345 is 3061864
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 9345
List of positive integer factors of 9345 that divides 9345 without a remainder.
1,3,5,7,15,21,35,89,105,267,445,623,1335,1869,3115,9345
Greatest Common Factor
We found the factors 541,9345 . The biggest common factor number is the GCF number.
So the greatest common factor 541,9345 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 6487/541, 6136/9345?
Answer: LCM of Numerators as per given numbers 6487/541, 6136/9345 is
LCM of Numerators i.e. for 6487,6136 is 3061864
GCF of denominators i.e. for 541,9345 is 1.
Thus, LCM of Fractions is 3061864.Finally, LCM of Fractions for 6487/541, 6136/9345 is 3061864.