Least Common Multiple of 33/820, 8661/3295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/820, 8661/3295 quickly i.e. 95271/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/820, 8661/3295 is 95271/5.

LCM(33/820, 8661/3295) = 95271/5

LCM of 33/820, 8661/3295

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 33/820,8661/3295

Given numbers are 33/820,8661/3295

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 33,8661

Least Common Multiple of Numerators i.e. LCM of 33,8661 is 95271.

GCF of Denominators means GCF of 820,3295 as per the given fractions.

GCF of 820,3295 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,8661

LCM of Fractions 33/820,8661/3295 is 95271/5

3 33, 8661
11, 2887

∴ So the LCM of the given numbers is 3 x 11 x 2887 = 95271

Least Common Multiple of 33,8661 with GCF Formula

Least Common Multiple of 33,8661 with GCF Formula

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 33,8661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,8661) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(33,8661) x common factors =3 x 1 = 3

LCM(33,8661) = ( 33 × 8661 ) / 3

LCM(33,8661) = 285813 / 3

LCM(33,8661) = 95271


Lets's calculate GCF of 820,3295

5 820, 3295
164, 659

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95271/5

Therefore the LCM of Fractions 33/820,8661/3295 is 95271/5

Greatest Common Factor of 820,3295 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,3295 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 3295

List of positive integer factors of 3295 that divides 3295 without a remainder.

1,5,659,3295

Greatest Common Factor

We found the factors 820,3295 . The biggest common factor number is the GCF number.
So the greatest common factor 820,3295 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 33/820, 8661/3295

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 33/820, 8661/3295?

Answer: LCM of Numerators as per given numbers 33/820, 8661/3295 is

LCM of Numerators i.e. for 33,8661 is 95271

GCF of denominators i.e. for 820,3295 is 5.

Thus, LCM of Fractions is 95271/5.Finally, LCM of Fractions for 33/820, 8661/3295 is 95271/5.