Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/464, 7008/5296 quickly i.e. 438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/464, 7008/5296 is 438.
LCM(96/464, 7008/5296) = 438
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/464,7008/5296
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 96,7008
Least Common Multiple of Numerators i.e. LCM of 96,7008 is 7008.
GCF of Denominators means GCF of 464,5296 as per the given fractions.
GCF of 464,5296 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,7008
2 | 96, 7008 |
2 | 48, 3504 |
2 | 24, 1752 |
2 | 12, 876 |
2 | 6, 438 |
3 | 3, 219 |
1, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 73 = 7008
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 96,7008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,7008) = 96
common factors(in case of two or more numbers have common factors) = 1
GCF(96,7008) x common factors =96 x 1 = 96
LCM(96,7008) = ( 96 × 7008 ) / 96
LCM(96,7008) = 672768 / 96
LCM(96,7008) = 7008
Lets's calculate GCF of 464,5296
2 | 464, 5296 |
2 | 232, 2648 |
2 | 116, 1324 |
2 | 58, 662 |
29, 331 |
∴ 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 = 7008/16
Therefore the LCM of Fractions 96/464,7008/5296 is 438
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 5296
List of positive integer factors of 5296 that divides 5296 without a remainder.
1,2,4,8,16,331,662,1324,2648,5296
Greatest Common Factor
We found the factors 464,5296 . The biggest common factor number is the GCF number.
So the greatest common factor 464,5296 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 96/464, 7008/5296?
Answer: LCM of Numerators as per given numbers 96/464, 7008/5296 is
LCM of Numerators i.e. for 96,7008 is 7008
GCF of denominators i.e. for 464,5296 is 16.
Thus, LCM of Fractions is 438.Finally, LCM of Fractions for 96/464, 7008/5296 is 438.