Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 486/384, 4996/4590 quickly i.e. 202338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 486/384, 4996/4590 is 202338.
LCM(486/384, 4996/4590) = 202338
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 486/384,4996/4590
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 486,4996
Least Common Multiple of Numerators i.e. LCM of 486,4996 is 1214028.
GCF of Denominators means GCF of 384,4590 as per the given fractions.
GCF of 384,4590 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 486,4996
2 | 486, 4996 |
243, 2498 |
∴ So the LCM of the given numbers is 2 x 243 x 2498 = 1214028
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 486,4996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,4996) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(486,4996) x common factors =2 x 1 = 2
LCM(486,4996) = ( 486 × 4996 ) / 2
LCM(486,4996) = 2428056 / 2
LCM(486,4996) = 1214028
Lets's calculate GCF of 384,4590
2 | 384, 4590 |
3 | 192, 2295 |
64, 765 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1214028/6
Therefore the LCM of Fractions 486/384,4996/4590 is 202338
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 4590
List of positive integer factors of 4590 that divides 4590 without a remainder.
1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590
Greatest Common Factor
We found the factors 384,4590 . The biggest common factor number is the GCF number.
So the greatest common factor 384,4590 is 6.
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 486/384, 4996/4590?
Answer: LCM of Numerators as per given numbers 486/384, 4996/4590 is
LCM of Numerators i.e. for 486,4996 is 1214028
GCF of denominators i.e. for 384,4590 is 6.
Thus, LCM of Fractions is 202338.Finally, LCM of Fractions for 486/384, 4996/4590 is 202338.