Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 373/496, 8017/5248 quickly i.e. 2990341/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 373/496, 8017/5248 is 2990341/16.
LCM(373/496, 8017/5248) = 2990341/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 373/496,8017/5248
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 373,8017
Least Common Multiple of Numerators i.e. LCM of 373,8017 is 2990341.
GCF of Denominators means GCF of 496,5248 as per the given fractions.
GCF of 496,5248 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 373,8017
Given numbers has no common factors except 1. So, there LCM is their product i.e 2990341
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 373,8017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,8017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,8017) x common factors =1 x 1 = 1
LCM(373,8017) = ( 373 × 8017 ) / 1
LCM(373,8017) = 2990341 / 1
LCM(373,8017) = 2990341
Lets's calculate GCF of 496,5248
2 | 496, 5248 |
2 | 248, 2624 |
2 | 124, 1312 |
2 | 62, 656 |
31, 328 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2990341/16
Therefore the LCM of Fractions 373/496,8017/5248 is 2990341/16
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 5248
List of positive integer factors of 5248 that divides 5248 without a remainder.
1,2,4,8,16,32,41,64,82,128,164,328,656,1312,2624,5248
Greatest Common Factor
We found the factors 496,5248 . The biggest common factor number is the GCF number.
So the greatest common factor 496,5248 is 16.
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 373/496, 8017/5248?
Answer: LCM of Numerators as per given numbers 373/496, 8017/5248 is
LCM of Numerators i.e. for 373,8017 is 2990341
GCF of denominators i.e. for 496,5248 is 16.
Thus, LCM of Fractions is 2990341/16.Finally, LCM of Fractions for 373/496, 8017/5248 is 2990341/16.