Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 512/22, 383/91, 582/253 quickly i.e. 57063936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 512/22, 383/91, 582/253 is 57063936.
LCM(512/22, 383/91, 582/253) = 57063936
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 512/22,383/91,582/253
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 512,383,582
Least Common Multiple of Numerators i.e. LCM of 512,383,582 is 57063936.
GCF of Denominators means GCF of 22,91,253 as per the given fractions.
GCF of 22,91,253 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 512,383,582
2 | 512, 383, 582 |
256, 383, 291 |
∴ So the LCM of the given numbers is 2 x 256 x 383 x 291 = 57063936
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 512,383,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,383,582) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(512,383,582) x common factors =1 x 2 = 2
LCM(512,383,582) = ( 512 × 383 × 582 ) / 2
LCM(512,383,582) = 114127872 / 2
LCM(512,383,582) = 57063936
Lets's calculate GCF of 22,91,253
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57063936/1
Therefore the LCM of Fractions 512/22,383/91,582/253 is 57063936
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Greatest Common Factor
We found the factors 22,91,253 . The biggest common factor number is the GCF number.
So the greatest common factor 22,91,253 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 512/22, 383/91, 582/253?
Answer: LCM of Numerators as per given numbers 512/22, 383/91, 582/253 is
LCM of Numerators i.e. for 512,383,582 is 57063936
GCF of denominators i.e. for 22,91,253 is 1.
Thus, LCM of Fractions is 57063936.Finally, LCM of Fractions for 512/22, 383/91, 582/253 is 57063936.