Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 727/577, 8130/3206 quickly i.e. 5910510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 727/577, 8130/3206 is 5910510.
LCM(727/577, 8130/3206) = 5910510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 727/577,8130/3206
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 727,8130
Least Common Multiple of Numerators i.e. LCM of 727,8130 is 5910510.
GCF of Denominators means GCF of 577,3206 as per the given fractions.
GCF of 577,3206 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 727,8130
Given numbers has no common factors except 1. So, there LCM is their product i.e 5910510
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 727,8130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,8130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,8130) x common factors =1 x 1 = 1
LCM(727,8130) = ( 727 × 8130 ) / 1
LCM(727,8130) = 5910510 / 1
LCM(727,8130) = 5910510
Lets's calculate GCF of 577,3206
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5910510/1
Therefore the LCM of Fractions 727/577,8130/3206 is 5910510
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Factors of 3206
List of positive integer factors of 3206 that divides 3206 without a remainder.
1,2,7,14,229,458,1603,3206
Greatest Common Factor
We found the factors 577,3206 . The biggest common factor number is the GCF number.
So the greatest common factor 577,3206 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 727/577, 8130/3206?
Answer: LCM of Numerators as per given numbers 727/577, 8130/3206 is
LCM of Numerators i.e. for 727,8130 is 5910510
GCF of denominators i.e. for 577,3206 is 1.
Thus, LCM of Fractions is 5910510.Finally, LCM of Fractions for 727/577, 8130/3206 is 5910510.