Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8777/480, 2588/322 quickly i.e. 11357438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8777/480, 2588/322 is 11357438.
LCM(8777/480, 2588/322) = 11357438
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8777/480,2588/322
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 8777,2588
Least Common Multiple of Numerators i.e. LCM of 8777,2588 is 22714876.
GCF of Denominators means GCF of 480,322 as per the given fractions.
GCF of 480,322 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8777,2588
Given numbers has no common factors except 1. So, there LCM is their product i.e 22714876
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 8777,2588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8777,2588) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8777,2588) x common factors =1 x 1 = 1
LCM(8777,2588) = ( 8777 × 2588 ) / 1
LCM(8777,2588) = 22714876 / 1
LCM(8777,2588) = 22714876
Lets's calculate GCF of 480,322
2 | 480, 322 |
240, 161 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22714876/2
Therefore the LCM of Fractions 8777/480,2588/322 is 11357438
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 480,322 . The biggest common factor number is the GCF number.
So the greatest common factor 480,322 is 2.
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 8777/480, 2588/322?
Answer: LCM of Numerators as per given numbers 8777/480, 2588/322 is
LCM of Numerators i.e. for 8777,2588 is 22714876
GCF of denominators i.e. for 480,322 is 2.
Thus, LCM of Fractions is 11357438.Finally, LCM of Fractions for 8777/480, 2588/322 is 11357438.