Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7882/387, 3605/5819 quickly i.e. 4059230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7882/387, 3605/5819 is 4059230.
LCM(7882/387, 3605/5819) = 4059230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7882/387,3605/5819
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 7882,3605
Least Common Multiple of Numerators i.e. LCM of 7882,3605 is 4059230.
GCF of Denominators means GCF of 387,5819 as per the given fractions.
GCF of 387,5819 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7882,3605
7 | 7882, 3605 |
1126, 515 |
∴ So the LCM of the given numbers is 7 x 1126 x 515 = 4059230
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 7882,3605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7882,3605) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(7882,3605) x common factors =7 x 1 = 7
LCM(7882,3605) = ( 7882 × 3605 ) / 7
LCM(7882,3605) = 28414610 / 7
LCM(7882,3605) = 4059230
Lets's calculate GCF of 387,5819
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4059230/1
Therefore the LCM of Fractions 7882/387,3605/5819 is 4059230
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 5819
List of positive integer factors of 5819 that divides 5819 without a remainder.
1,11,23,253,529,5819
Greatest Common Factor
We found the factors 387,5819 . The biggest common factor number is the GCF number.
So the greatest common factor 387,5819 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 7882/387, 3605/5819?
Answer: LCM of Numerators as per given numbers 7882/387, 3605/5819 is
LCM of Numerators i.e. for 7882,3605 is 4059230
GCF of denominators i.e. for 387,5819 is 1.
Thus, LCM of Fractions is 4059230.Finally, LCM of Fractions for 7882/387, 3605/5819 is 4059230.