Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/330, 25/433, 744/272 quickly i.e. 241800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/330, 25/433, 744/272 is 241800.
LCM(26/330, 25/433, 744/272) = 241800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/330,25/433,744/272
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 26,25,744
Least Common Multiple of Numerators i.e. LCM of 26,25,744 is 241800.
GCF of Denominators means GCF of 330,433,272 as per the given fractions.
GCF of 330,433,272 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,25,744
2 | 26, 25, 744 |
13, 25, 372 |
∴ So the LCM of the given numbers is 2 x 13 x 25 x 372 = 241800
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 26,25,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,25,744) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,25,744) x common factors =1 x 2 = 2
LCM(26,25,744) = ( 26 × 25 × 744 ) / 2
LCM(26,25,744) = 483600 / 2
LCM(26,25,744) = 241800
Lets's calculate GCF of 330,433,272
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241800/1
Therefore the LCM of Fractions 26/330,25/433,744/272 is 241800
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 330,433,272 . The biggest common factor number is the GCF number.
So the greatest common factor 330,433,272 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 26/330, 25/433, 744/272?
Answer: LCM of Numerators as per given numbers 26/330, 25/433, 744/272 is
LCM of Numerators i.e. for 26,25,744 is 241800
GCF of denominators i.e. for 330,433,272 is 1.
Thus, LCM of Fractions is 241800.Finally, LCM of Fractions for 26/330, 25/433, 744/272 is 241800.