Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 588/83, 428/2368 quickly i.e. 62916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 588/83, 428/2368 is 62916.
LCM(588/83, 428/2368) = 62916
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 588/83,428/2368
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 588,428
Least Common Multiple of Numerators i.e. LCM of 588,428 is 62916.
GCF of Denominators means GCF of 83,2368 as per the given fractions.
GCF of 83,2368 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 588,428
2 | 588, 428 |
2 | 294, 214 |
147, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 147 x 107 = 62916
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 588,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,428) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(588,428) x common factors =4 x 1 = 4
LCM(588,428) = ( 588 × 428 ) / 4
LCM(588,428) = 251664 / 4
LCM(588,428) = 62916
Lets's calculate GCF of 83,2368
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62916/1
Therefore the LCM of Fractions 588/83,428/2368 is 62916
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 2368
List of positive integer factors of 2368 that divides 2368 without a remainder.
1,2,4,8,16,32,37,64,74,148,296,592,1184,2368
Greatest Common Factor
We found the factors 83,2368 . The biggest common factor number is the GCF number.
So the greatest common factor 83,2368 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 588/83, 428/2368?
Answer: LCM of Numerators as per given numbers 588/83, 428/2368 is
LCM of Numerators i.e. for 588,428 is 62916
GCF of denominators i.e. for 83,2368 is 1.
Thus, LCM of Fractions is 62916.Finally, LCM of Fractions for 588/83, 428/2368 is 62916.