Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 974/33, 172/95, 393/483 quickly i.e. 32919252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 974/33, 172/95, 393/483 is 32919252.
LCM(974/33, 172/95, 393/483) = 32919252
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 974/33,172/95,393/483
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 974,172,393
Least Common Multiple of Numerators i.e. LCM of 974,172,393 is 32919252.
GCF of Denominators means GCF of 33,95,483 as per the given fractions.
GCF of 33,95,483 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 974,172,393
2 | 974, 172, 393 |
487, 86, 393 |
∴ So the LCM of the given numbers is 2 x 487 x 86 x 393 = 32919252
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 974,172,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,172,393) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(974,172,393) x common factors =1 x 2 = 2
LCM(974,172,393) = ( 974 × 172 × 393 ) / 2
LCM(974,172,393) = 65838504 / 2
LCM(974,172,393) = 32919252
Lets's calculate GCF of 33,95,483
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32919252/1
Therefore the LCM of Fractions 974/33,172/95,393/483 is 32919252
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
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 33,95,483 . The biggest common factor number is the GCF number.
So the greatest common factor 33,95,483 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 974/33, 172/95, 393/483?
Answer: LCM of Numerators as per given numbers 974/33, 172/95, 393/483 is
LCM of Numerators i.e. for 974,172,393 is 32919252
GCF of denominators i.e. for 33,95,483 is 1.
Thus, LCM of Fractions is 32919252.Finally, LCM of Fractions for 974/33, 172/95, 393/483 is 32919252.