Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8697/680, 2644/337 quickly i.e. 22994868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8697/680, 2644/337 is 22994868.
LCM(8697/680, 2644/337) = 22994868
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8697/680,2644/337
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 8697,2644
Least Common Multiple of Numerators i.e. LCM of 8697,2644 is 22994868.
GCF of Denominators means GCF of 680,337 as per the given fractions.
GCF of 680,337 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8697,2644
Given numbers has no common factors except 1. So, there LCM is their product i.e 22994868
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 8697,2644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8697,2644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8697,2644) x common factors =1 x 1 = 1
LCM(8697,2644) = ( 8697 × 2644 ) / 1
LCM(8697,2644) = 22994868 / 1
LCM(8697,2644) = 22994868
Lets's calculate GCF of 680,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22994868/1
Therefore the LCM of Fractions 8697/680,2644/337 is 22994868
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 680,337 . The biggest common factor number is the GCF number.
So the greatest common factor 680,337 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 8697/680, 2644/337?
Answer: LCM of Numerators as per given numbers 8697/680, 2644/337 is
LCM of Numerators i.e. for 8697,2644 is 22994868
GCF of denominators i.e. for 680,337 is 1.
Thus, LCM of Fractions is 22994868.Finally, LCM of Fractions for 8697/680, 2644/337 is 22994868.