Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 470/24, 593/8190 quickly i.e. 278710/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 470/24, 593/8190 is 278710/6.
LCM(470/24, 593/8190) = 278710/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 470/24,593/8190
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 470,593
Least Common Multiple of Numerators i.e. LCM of 470,593 is 278710.
GCF of Denominators means GCF of 24,8190 as per the given fractions.
GCF of 24,8190 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 470,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 278710
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 470,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(470,593) x common factors =1 x 1 = 1
LCM(470,593) = ( 470 × 593 ) / 1
LCM(470,593) = 278710 / 1
LCM(470,593) = 278710
Lets's calculate GCF of 24,8190
2 | 24, 8190 |
3 | 12, 4095 |
4, 1365 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278710/6
Therefore the LCM of Fractions 470/24,593/8190 is 278710/6
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 8190
List of positive integer factors of 8190 that divides 8190 without a remainder.
1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190
Greatest Common Factor
We found the factors 24,8190 . The biggest common factor number is the GCF number.
So the greatest common factor 24,8190 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 470/24, 593/8190?
Answer: LCM of Numerators as per given numbers 470/24, 593/8190 is
LCM of Numerators i.e. for 470,593 is 278710
GCF of denominators i.e. for 24,8190 is 6.
Thus, LCM of Fractions is 278710/6.Finally, LCM of Fractions for 470/24, 593/8190 is 278710/6.