Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2644/267, 4060/8814 quickly i.e. 2683660/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2644/267, 4060/8814 is 2683660/3.
LCM(2644/267, 4060/8814) = 2683660/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2644/267,4060/8814
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 2644,4060
Least Common Multiple of Numerators i.e. LCM of 2644,4060 is 2683660.
GCF of Denominators means GCF of 267,8814 as per the given fractions.
GCF of 267,8814 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2644,4060
2 | 2644, 4060 |
2 | 1322, 2030 |
661, 1015 |
∴ So the LCM of the given numbers is 2 x 2 x 661 x 1015 = 2683660
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 2644,4060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2644,4060) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(2644,4060) x common factors =4 x 1 = 4
LCM(2644,4060) = ( 2644 × 4060 ) / 4
LCM(2644,4060) = 10734640 / 4
LCM(2644,4060) = 2683660
Lets's calculate GCF of 267,8814
3 | 267, 8814 |
89, 2938 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2683660/3
Therefore the LCM of Fractions 2644/267,4060/8814 is 2683660/3
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 8814
List of positive integer factors of 8814 that divides 8814 without a remainder.
1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814
Greatest Common Factor
We found the factors 267,8814 . The biggest common factor number is the GCF number.
So the greatest common factor 267,8814 is 3.
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 2644/267, 4060/8814?
Answer: LCM of Numerators as per given numbers 2644/267, 4060/8814 is
LCM of Numerators i.e. for 2644,4060 is 2683660
GCF of denominators i.e. for 267,8814 is 3.
Thus, LCM of Fractions is 2683660/3.Finally, LCM of Fractions for 2644/267, 4060/8814 is 2683660/3.