Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4083/475, 4713/4107 quickly i.e. 6414393 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4083/475, 4713/4107 is 6414393.
LCM(4083/475, 4713/4107) = 6414393
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4083/475,4713/4107
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 4083,4713
Least Common Multiple of Numerators i.e. LCM of 4083,4713 is 6414393.
GCF of Denominators means GCF of 475,4107 as per the given fractions.
GCF of 475,4107 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4083,4713
3 | 4083, 4713 |
1361, 1571 |
∴ So the LCM of the given numbers is 3 x 1361 x 1571 = 6414393
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 4083,4713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4083,4713) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(4083,4713) x common factors =3 x 1 = 3
LCM(4083,4713) = ( 4083 × 4713 ) / 3
LCM(4083,4713) = 19243179 / 3
LCM(4083,4713) = 6414393
Lets's calculate GCF of 475,4107
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6414393/1
Therefore the LCM of Fractions 4083/475,4713/4107 is 6414393
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 4107
List of positive integer factors of 4107 that divides 4107 without a remainder.
1,3,37,111,1369,4107
Greatest Common Factor
We found the factors 475,4107 . The biggest common factor number is the GCF number.
So the greatest common factor 475,4107 is 1.
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 4083/475, 4713/4107?
Answer: LCM of Numerators as per given numbers 4083/475, 4713/4107 is
LCM of Numerators i.e. for 4083,4713 is 6414393
GCF of denominators i.e. for 475,4107 is 1.
Thus, LCM of Fractions is 6414393.Finally, LCM of Fractions for 4083/475, 4713/4107 is 6414393.