Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 580/750, 6581/1249 quickly i.e. 3816980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 580/750, 6581/1249 is 3816980.
LCM(580/750, 6581/1249) = 3816980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 580/750,6581/1249
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 580,6581
Least Common Multiple of Numerators i.e. LCM of 580,6581 is 3816980.
GCF of Denominators means GCF of 750,1249 as per the given fractions.
GCF of 750,1249 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 580,6581
Given numbers has no common factors except 1. So, there LCM is their product i.e 3816980
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 580,6581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,6581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(580,6581) x common factors =1 x 1 = 1
LCM(580,6581) = ( 580 × 6581 ) / 1
LCM(580,6581) = 3816980 / 1
LCM(580,6581) = 3816980
Lets's calculate GCF of 750,1249
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3816980/1
Therefore the LCM of Fractions 580/750,6581/1249 is 3816980
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 1249
List of positive integer factors of 1249 that divides 1249 without a remainder.
1,1249
Greatest Common Factor
We found the factors 750,1249 . The biggest common factor number is the GCF number.
So the greatest common factor 750,1249 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 580/750, 6581/1249?
Answer: LCM of Numerators as per given numbers 580/750, 6581/1249 is
LCM of Numerators i.e. for 580,6581 is 3816980
GCF of denominators i.e. for 750,1249 is 1.
Thus, LCM of Fractions is 3816980.Finally, LCM of Fractions for 580/750, 6581/1249 is 3816980.