Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5377/410, 6005/4825 quickly i.e. 6457777 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5377/410, 6005/4825 is 6457777.
LCM(5377/410, 6005/4825) = 6457777
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5377/410,6005/4825
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 5377,6005
Least Common Multiple of Numerators i.e. LCM of 5377,6005 is 32288885.
GCF of Denominators means GCF of 410,4825 as per the given fractions.
GCF of 410,4825 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5377,6005
Given numbers has no common factors except 1. So, there LCM is their product i.e 32288885
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 5377,6005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5377,6005) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5377,6005) x common factors =1 x 1 = 1
LCM(5377,6005) = ( 5377 × 6005 ) / 1
LCM(5377,6005) = 32288885 / 1
LCM(5377,6005) = 32288885
Lets's calculate GCF of 410,4825
5 | 410, 4825 |
82, 965 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32288885/5
Therefore the LCM of Fractions 5377/410,6005/4825 is 6457777
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Factors of 4825
List of positive integer factors of 4825 that divides 4825 without a remainder.
1,5,25,193,965,4825
Greatest Common Factor
We found the factors 410,4825 . The biggest common factor number is the GCF number.
So the greatest common factor 410,4825 is 5.
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 5377/410, 6005/4825?
Answer: LCM of Numerators as per given numbers 5377/410, 6005/4825 is
LCM of Numerators i.e. for 5377,6005 is 32288885
GCF of denominators i.e. for 410,4825 is 5.
Thus, LCM of Fractions is 6457777.Finally, LCM of Fractions for 5377/410, 6005/4825 is 6457777.