Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/801, 9246/6765 quickly i.e. 33902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/801, 9246/6765 is 33902.
LCM(33/801, 9246/6765) = 33902
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/801,9246/6765
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 33,9246
Least Common Multiple of Numerators i.e. LCM of 33,9246 is 101706.
GCF of Denominators means GCF of 801,6765 as per the given fractions.
GCF of 801,6765 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,9246
3 | 33, 9246 |
11, 3082 |
∴ So the LCM of the given numbers is 3 x 11 x 3082 = 101706
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 33,9246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,9246) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(33,9246) x common factors =3 x 1 = 3
LCM(33,9246) = ( 33 × 9246 ) / 3
LCM(33,9246) = 305118 / 3
LCM(33,9246) = 101706
Lets's calculate GCF of 801,6765
3 | 801, 6765 |
267, 2255 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101706/3
Therefore the LCM of Fractions 33/801,9246/6765 is 33902
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Factors of 6765
List of positive integer factors of 6765 that divides 6765 without a remainder.
1,3,5,11,15,33,41,55,123,165,205,451,615,1353,2255,6765
Greatest Common Factor
We found the factors 801,6765 . The biggest common factor number is the GCF number.
So the greatest common factor 801,6765 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 33/801, 9246/6765?
Answer: LCM of Numerators as per given numbers 33/801, 9246/6765 is
LCM of Numerators i.e. for 33,9246 is 101706
GCF of denominators i.e. for 801,6765 is 3.
Thus, LCM of Fractions is 33902.Finally, LCM of Fractions for 33/801, 9246/6765 is 33902.