Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6754/500, 8740/588 quickly i.e. 7378745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6754/500, 8740/588 is 7378745.
LCM(6754/500, 8740/588) = 7378745
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6754/500,8740/588
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 6754,8740
Least Common Multiple of Numerators i.e. LCM of 6754,8740 is 29514980.
GCF of Denominators means GCF of 500,588 as per the given fractions.
GCF of 500,588 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6754,8740
2 | 6754, 8740 |
3377, 4370 |
∴ So the LCM of the given numbers is 2 x 3377 x 4370 = 29514980
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 6754,8740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6754,8740) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6754,8740) x common factors =2 x 1 = 2
LCM(6754,8740) = ( 6754 × 8740 ) / 2
LCM(6754,8740) = 59029960 / 2
LCM(6754,8740) = 29514980
Lets's calculate GCF of 500,588
2 | 500, 588 |
2 | 250, 294 |
125, 147 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29514980/4
Therefore the LCM of Fractions 6754/500,8740/588 is 7378745
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Greatest Common Factor
We found the factors 500,588 . The biggest common factor number is the GCF number.
So the greatest common factor 500,588 is 4.
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 6754/500, 8740/588?
Answer: LCM of Numerators as per given numbers 6754/500, 8740/588 is
LCM of Numerators i.e. for 6754,8740 is 29514980
GCF of denominators i.e. for 500,588 is 4.
Thus, LCM of Fractions is 7378745.Finally, LCM of Fractions for 6754/500, 8740/588 is 7378745.