Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/236, 491/641, 451/561 quickly i.e. 664323 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/236, 491/641, 451/561 is 664323.
LCM(33/236, 491/641, 451/561) = 664323
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/236,491/641,451/561
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 33,491,451
Least Common Multiple of Numerators i.e. LCM of 33,491,451 is 664323.
GCF of Denominators means GCF of 236,641,561 as per the given fractions.
GCF of 236,641,561 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,491,451
11 | 33, 491, 451 |
3, 491, 41 |
∴ So the LCM of the given numbers is 11 x 3 x 491 x 41 = 664323
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 33,491,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,491,451) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(33,491,451) x common factors =1 x 11 = 11
LCM(33,491,451) = ( 33 × 491 × 451 ) / 11
LCM(33,491,451) = 7307553 / 11
LCM(33,491,451) = 664323
Lets's calculate GCF of 236,641,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 664323/1
Therefore the LCM of Fractions 33/236,491/641,451/561 is 664323
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 236,641,561 . The biggest common factor number is the GCF number.
So the greatest common factor 236,641,561 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 33/236, 491/641, 451/561?
Answer: LCM of Numerators as per given numbers 33/236, 491/641, 451/561 is
LCM of Numerators i.e. for 33,491,451 is 664323
GCF of denominators i.e. for 236,641,561 is 1.
Thus, LCM of Fractions is 664323.Finally, LCM of Fractions for 33/236, 491/641, 451/561 is 664323.