Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 394/997, 256/650 quickly i.e. 50432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 394/997, 256/650 is 50432.
LCM(394/997, 256/650) = 50432
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 394/997,256/650
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 394,256
Least Common Multiple of Numerators i.e. LCM of 394,256 is 50432.
GCF of Denominators means GCF of 997,650 as per the given fractions.
GCF of 997,650 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 394,256
2 | 394, 256 |
197, 128 |
∴ So the LCM of the given numbers is 2 x 197 x 128 = 50432
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 394,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,256) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,256) x common factors =2 x 1 = 2
LCM(394,256) = ( 394 × 256 ) / 2
LCM(394,256) = 100864 / 2
LCM(394,256) = 50432
Lets's calculate GCF of 997,650
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50432/1
Therefore the LCM of Fractions 394/997,256/650 is 50432
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 997,650 . The biggest common factor number is the GCF number.
So the greatest common factor 997,650 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 394/997, 256/650?
Answer: LCM of Numerators as per given numbers 394/997, 256/650 is
LCM of Numerators i.e. for 394,256 is 50432
GCF of denominators i.e. for 997,650 is 1.
Thus, LCM of Fractions is 50432.Finally, LCM of Fractions for 394/997, 256/650 is 50432.