Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3437/588, 8721/739 quickly i.e. 29974077 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3437/588, 8721/739 is 29974077.
LCM(3437/588, 8721/739) = 29974077
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3437/588,8721/739
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 3437,8721
Least Common Multiple of Numerators i.e. LCM of 3437,8721 is 29974077.
GCF of Denominators means GCF of 588,739 as per the given fractions.
GCF of 588,739 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3437,8721
Given numbers has no common factors except 1. So, there LCM is their product i.e 29974077
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 3437,8721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3437,8721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3437,8721) x common factors =1 x 1 = 1
LCM(3437,8721) = ( 3437 × 8721 ) / 1
LCM(3437,8721) = 29974077 / 1
LCM(3437,8721) = 29974077
Lets's calculate GCF of 588,739
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29974077/1
Therefore the LCM of Fractions 3437/588,8721/739 is 29974077
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
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Greatest Common Factor
We found the factors 588,739 . The biggest common factor number is the GCF number.
So the greatest common factor 588,739 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 3437/588, 8721/739?
Answer: LCM of Numerators as per given numbers 3437/588, 8721/739 is
LCM of Numerators i.e. for 3437,8721 is 29974077
GCF of denominators i.e. for 588,739 is 1.
Thus, LCM of Fractions is 29974077.Finally, LCM of Fractions for 3437/588, 8721/739 is 29974077.