Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/496, 8433/2426 quickly i.e. 33732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/496, 8433/2426 is 33732.
LCM(24/496, 8433/2426) = 33732
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/496,8433/2426
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 24,8433
Least Common Multiple of Numerators i.e. LCM of 24,8433 is 67464.
GCF of Denominators means GCF of 496,2426 as per the given fractions.
GCF of 496,2426 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,8433
3 | 24, 8433 |
8, 2811 |
∴ So the LCM of the given numbers is 3 x 8 x 2811 = 67464
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 24,8433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,8433) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(24,8433) x common factors =3 x 1 = 3
LCM(24,8433) = ( 24 × 8433 ) / 3
LCM(24,8433) = 202392 / 3
LCM(24,8433) = 67464
Lets's calculate GCF of 496,2426
2 | 496, 2426 |
248, 1213 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67464/2
Therefore the LCM of Fractions 24/496,8433/2426 is 33732
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 2426
List of positive integer factors of 2426 that divides 2426 without a remainder.
1,2,1213,2426
Greatest Common Factor
We found the factors 496,2426 . The biggest common factor number is the GCF number.
So the greatest common factor 496,2426 is 2.
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 24/496, 8433/2426?
Answer: LCM of Numerators as per given numbers 24/496, 8433/2426 is
LCM of Numerators i.e. for 24,8433 is 67464
GCF of denominators i.e. for 496,2426 is 2.
Thus, LCM of Fractions is 33732.Finally, LCM of Fractions for 24/496, 8433/2426 is 33732.