Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1005/415, 7740/5782 quickly i.e. 518580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1005/415, 7740/5782 is 518580.
LCM(1005/415, 7740/5782) = 518580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1005/415,7740/5782
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 1005,7740
Least Common Multiple of Numerators i.e. LCM of 1005,7740 is 518580.
GCF of Denominators means GCF of 415,5782 as per the given fractions.
GCF of 415,5782 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1005,7740
3 | 1005, 7740 |
5 | 335, 2580 |
67, 516 |
∴ So the LCM of the given numbers is 3 x 5 x 67 x 516 = 518580
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 1005,7740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1005,7740) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(1005,7740) x common factors =15 x 1 = 15
LCM(1005,7740) = ( 1005 × 7740 ) / 15
LCM(1005,7740) = 7778700 / 15
LCM(1005,7740) = 518580
Lets's calculate GCF of 415,5782
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 518580/1
Therefore the LCM of Fractions 1005/415,7740/5782 is 518580
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 5782
List of positive integer factors of 5782 that divides 5782 without a remainder.
1,2,7,14,49,59,98,118,413,826,2891,5782
Greatest Common Factor
We found the factors 415,5782 . The biggest common factor number is the GCF number.
So the greatest common factor 415,5782 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 1005/415, 7740/5782?
Answer: LCM of Numerators as per given numbers 1005/415, 7740/5782 is
LCM of Numerators i.e. for 1005,7740 is 518580
GCF of denominators i.e. for 415,5782 is 1.
Thus, LCM of Fractions is 518580.Finally, LCM of Fractions for 1005/415, 7740/5782 is 518580.