Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 325/523, 600/443, 400/286 quickly i.e. 15600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 325/523, 600/443, 400/286 is 15600.
LCM(325/523, 600/443, 400/286) = 15600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 325/523,600/443,400/286
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 325,600,400
Least Common Multiple of Numerators i.e. LCM of 325,600,400 is 15600.
GCF of Denominators means GCF of 523,443,286 as per the given fractions.
GCF of 523,443,286 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 325,600,400
2 | 325, 600, 400 |
2 | 325, 300, 200 |
2 | 325, 150, 100 |
5 | 325, 75, 50 |
5 | 65, 15, 10 |
13, 3, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 13 x 3 x 2 = 15600
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 325,600,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,600,400) = 25
common factors(in case of two or more numbers have common factors) = 200
GCF(325,600,400) x common factors =25 x 200 = 5000
LCM(325,600,400) = ( 325 × 600 × 400 ) / 5000
LCM(325,600,400) = 78000000 / 5000
LCM(325,600,400) = 15600
Lets's calculate GCF of 523,443,286
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15600/1
Therefore the LCM of Fractions 325/523,600/443,400/286 is 15600
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 523,443,286 . The biggest common factor number is the GCF number.
So the greatest common factor 523,443,286 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 325/523, 600/443, 400/286?
Answer: LCM of Numerators as per given numbers 325/523, 600/443, 400/286 is
LCM of Numerators i.e. for 325,600,400 is 15600
GCF of denominators i.e. for 523,443,286 is 1.
Thus, LCM of Fractions is 15600.Finally, LCM of Fractions for 325/523, 600/443, 400/286 is 15600.