Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/79, 36/85, 453/483 quickly i.e. 43488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/79, 36/85, 453/483 is 43488.
LCM(96/79, 36/85, 453/483) = 43488
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/79,36/85,453/483
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 96,36,453
Least Common Multiple of Numerators i.e. LCM of 96,36,453 is 43488.
GCF of Denominators means GCF of 79,85,483 as per the given fractions.
GCF of 79,85,483 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,36,453
2 | 96, 36, 453 |
2 | 48, 18, 453 |
3 | 24, 9, 453 |
8, 3, 151 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 3 x 151 = 43488
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 96,36,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,36,453) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(96,36,453) x common factors =3 x 12 = 36
LCM(96,36,453) = ( 96 × 36 × 453 ) / 36
LCM(96,36,453) = 1565568 / 36
LCM(96,36,453) = 43488
Lets's calculate GCF of 79,85,483
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43488/1
Therefore the LCM of Fractions 96/79,36/85,453/483 is 43488
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 79,85,483 . The biggest common factor number is the GCF number.
So the greatest common factor 79,85,483 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 96/79, 36/85, 453/483?
Answer: LCM of Numerators as per given numbers 96/79, 36/85, 453/483 is
LCM of Numerators i.e. for 96,36,453 is 43488
GCF of denominators i.e. for 79,85,483 is 1.
Thus, LCM of Fractions is 43488.Finally, LCM of Fractions for 96/79, 36/85, 453/483 is 43488.