Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8644/779, 1435/2665 quickly i.e. 302540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8644/779, 1435/2665 is 302540.
LCM(8644/779, 1435/2665) = 302540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8644/779,1435/2665
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 8644,1435
Least Common Multiple of Numerators i.e. LCM of 8644,1435 is 12404140.
GCF of Denominators means GCF of 779,2665 as per the given fractions.
GCF of 779,2665 is 41 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8644,1435
Given numbers has no common factors except 1. So, there LCM is their product i.e 12404140
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 8644,1435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8644,1435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8644,1435) x common factors =1 x 1 = 1
LCM(8644,1435) = ( 8644 × 1435 ) / 1
LCM(8644,1435) = 12404140 / 1
LCM(8644,1435) = 12404140
Lets's calculate GCF of 779,2665
41 | 779, 2665 |
19, 65 |
∴ So the GCF of the given numbers is 41 = 41
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12404140/41
Therefore the LCM of Fractions 8644/779,1435/2665 is 302540
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 2665
List of positive integer factors of 2665 that divides 2665 without a remainder.
1,5,13,41,65,205,533,2665
Greatest Common Factor
We found the factors 779,2665 . The biggest common factor number is the GCF number.
So the greatest common factor 779,2665 is 41.
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 8644/779, 1435/2665?
Answer: LCM of Numerators as per given numbers 8644/779, 1435/2665 is
LCM of Numerators i.e. for 8644,1435 is 12404140
GCF of denominators i.e. for 779,2665 is 41.
Thus, LCM of Fractions is 302540.Finally, LCM of Fractions for 8644/779, 1435/2665 is 302540.