Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/555, 29/279, 241/801 quickly i.e. 76879 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/555, 29/279, 241/801 is 76879.
LCM(33/555, 29/279, 241/801) = 76879
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/555,29/279,241/801
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 33,29,241
Least Common Multiple of Numerators i.e. LCM of 33,29,241 is 230637.
GCF of Denominators means GCF of 555,279,801 as per the given fractions.
GCF of 555,279,801 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,29,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 230637
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 33,29,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,29,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,29,241) x common factors =1 x 1 = 1
LCM(33,29,241) = ( 33 × 29 × 241 ) / 1
LCM(33,29,241) = 230637 / 1
LCM(33,29,241) = 230637
Lets's calculate GCF of 555,279,801
3 | 555, 279, 801 |
185, 93, 267 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230637/3
Therefore the LCM of Fractions 33/555,29/279,241/801 is 76879
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Greatest Common Factor
We found the factors 555,279,801 . The biggest common factor number is the GCF number.
So the greatest common factor 555,279,801 is 3.
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 33/555, 29/279, 241/801?
Answer: LCM of Numerators as per given numbers 33/555, 29/279, 241/801 is
LCM of Numerators i.e. for 33,29,241 is 230637
GCF of denominators i.e. for 555,279,801 is 3.
Thus, LCM of Fractions is 76879.Finally, LCM of Fractions for 33/555, 29/279, 241/801 is 76879.