Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5686/257, 7590/8566 quickly i.e. 21578370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5686/257, 7590/8566 is 21578370.
LCM(5686/257, 7590/8566) = 21578370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5686/257,7590/8566
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 5686,7590
Least Common Multiple of Numerators i.e. LCM of 5686,7590 is 21578370.
GCF of Denominators means GCF of 257,8566 as per the given fractions.
GCF of 257,8566 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5686,7590
2 | 5686, 7590 |
2843, 3795 |
∴ So the LCM of the given numbers is 2 x 2843 x 3795 = 21578370
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 5686,7590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5686,7590) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5686,7590) x common factors =2 x 1 = 2
LCM(5686,7590) = ( 5686 × 7590 ) / 2
LCM(5686,7590) = 43156740 / 2
LCM(5686,7590) = 21578370
Lets's calculate GCF of 257,8566
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21578370/1
Therefore the LCM of Fractions 5686/257,7590/8566 is 21578370
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 8566
List of positive integer factors of 8566 that divides 8566 without a remainder.
1,2,4283,8566
Greatest Common Factor
We found the factors 257,8566 . The biggest common factor number is the GCF number.
So the greatest common factor 257,8566 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 5686/257, 7590/8566?
Answer: LCM of Numerators as per given numbers 5686/257, 7590/8566 is
LCM of Numerators i.e. for 5686,7590 is 21578370
GCF of denominators i.e. for 257,8566 is 1.
Thus, LCM of Fractions is 21578370.Finally, LCM of Fractions for 5686/257, 7590/8566 is 21578370.