Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4040/410, 3177/5175 quickly i.e. 2567016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4040/410, 3177/5175 is 2567016.
LCM(4040/410, 3177/5175) = 2567016
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4040/410,3177/5175
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 4040,3177
Least Common Multiple of Numerators i.e. LCM of 4040,3177 is 12835080.
GCF of Denominators means GCF of 410,5175 as per the given fractions.
GCF of 410,5175 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4040,3177
Given numbers has no common factors except 1. So, there LCM is their product i.e 12835080
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 4040,3177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4040,3177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4040,3177) x common factors =1 x 1 = 1
LCM(4040,3177) = ( 4040 × 3177 ) / 1
LCM(4040,3177) = 12835080 / 1
LCM(4040,3177) = 12835080
Lets's calculate GCF of 410,5175
5 | 410, 5175 |
82, 1035 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12835080/5
Therefore the LCM of Fractions 4040/410,3177/5175 is 2567016
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 5175
List of positive integer factors of 5175 that divides 5175 without a remainder.
1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175
Greatest Common Factor
We found the factors 410,5175 . The biggest common factor number is the GCF number.
So the greatest common factor 410,5175 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 4040/410, 3177/5175?
Answer: LCM of Numerators as per given numbers 4040/410, 3177/5175 is
LCM of Numerators i.e. for 4040,3177 is 12835080
GCF of denominators i.e. for 410,5175 is 5.
Thus, LCM of Fractions is 2567016.Finally, LCM of Fractions for 4040/410, 3177/5175 is 2567016.