Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6586/727, 9525/2932 quickly i.e. 62731650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6586/727, 9525/2932 is 62731650.
LCM(6586/727, 9525/2932) = 62731650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6586/727,9525/2932
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 6586,9525
Least Common Multiple of Numerators i.e. LCM of 6586,9525 is 62731650.
GCF of Denominators means GCF of 727,2932 as per the given fractions.
GCF of 727,2932 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6586,9525
Given numbers has no common factors except 1. So, there LCM is their product i.e 62731650
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 6586,9525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6586,9525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6586,9525) x common factors =1 x 1 = 1
LCM(6586,9525) = ( 6586 × 9525 ) / 1
LCM(6586,9525) = 62731650 / 1
LCM(6586,9525) = 62731650
Lets's calculate GCF of 727,2932
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62731650/1
Therefore the LCM of Fractions 6586/727,9525/2932 is 62731650
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Factors of 2932
List of positive integer factors of 2932 that divides 2932 without a remainder.
1,2,4,733,1466,2932
Greatest Common Factor
We found the factors 727,2932 . The biggest common factor number is the GCF number.
So the greatest common factor 727,2932 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 6586/727, 9525/2932?
Answer: LCM of Numerators as per given numbers 6586/727, 9525/2932 is
LCM of Numerators i.e. for 6586,9525 is 62731650
GCF of denominators i.e. for 727,2932 is 1.
Thus, LCM of Fractions is 62731650.Finally, LCM of Fractions for 6586/727, 9525/2932 is 62731650.