Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 390/499, 2830/5184 quickly i.e. 110370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 390/499, 2830/5184 is 110370.
LCM(390/499, 2830/5184) = 110370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 390/499,2830/5184
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 390,2830
Least Common Multiple of Numerators i.e. LCM of 390,2830 is 110370.
GCF of Denominators means GCF of 499,5184 as per the given fractions.
GCF of 499,5184 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 390,2830
2 | 390, 2830 |
5 | 195, 1415 |
39, 283 |
∴ So the LCM of the given numbers is 2 x 5 x 39 x 283 = 110370
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 390,2830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,2830) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(390,2830) x common factors =10 x 1 = 10
LCM(390,2830) = ( 390 × 2830 ) / 10
LCM(390,2830) = 1103700 / 10
LCM(390,2830) = 110370
Lets's calculate GCF of 499,5184
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110370/1
Therefore the LCM of Fractions 390/499,2830/5184 is 110370
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 5184
List of positive integer factors of 5184 that divides 5184 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,81,96,108,144,162,192,216,288,324,432,576,648,864,1296,1728,2592,5184
Greatest Common Factor
We found the factors 499,5184 . The biggest common factor number is the GCF number.
So the greatest common factor 499,5184 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 390/499, 2830/5184?
Answer: LCM of Numerators as per given numbers 390/499, 2830/5184 is
LCM of Numerators i.e. for 390,2830 is 110370
GCF of denominators i.e. for 499,5184 is 1.
Thus, LCM of Fractions is 110370.Finally, LCM of Fractions for 390/499, 2830/5184 is 110370.