Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7488/799, 8496/667 quickly i.e. 441792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7488/799, 8496/667 is 441792.
LCM(7488/799, 8496/667) = 441792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7488/799,8496/667
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 7488,8496
Least Common Multiple of Numerators i.e. LCM of 7488,8496 is 441792.
GCF of Denominators means GCF of 799,667 as per the given fractions.
GCF of 799,667 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7488,8496
2 | 7488, 8496 |
2 | 3744, 4248 |
2 | 1872, 2124 |
2 | 936, 1062 |
3 | 468, 531 |
3 | 156, 177 |
52, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 52 x 59 = 441792
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 7488,8496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7488,8496) = 144
common factors(in case of two or more numbers have common factors) = 1
GCF(7488,8496) x common factors =144 x 1 = 144
LCM(7488,8496) = ( 7488 × 8496 ) / 144
LCM(7488,8496) = 63618048 / 144
LCM(7488,8496) = 441792
Lets's calculate GCF of 799,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 441792/1
Therefore the LCM of Fractions 7488/799,8496/667 is 441792
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Greatest Common Factor
We found the factors 799,667 . The biggest common factor number is the GCF number.
So the greatest common factor 799,667 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 7488/799, 8496/667?
Answer: LCM of Numerators as per given numbers 7488/799, 8496/667 is
LCM of Numerators i.e. for 7488,8496 is 441792
GCF of denominators i.e. for 799,667 is 1.
Thus, LCM of Fractions is 441792.Finally, LCM of Fractions for 7488/799, 8496/667 is 441792.