Least Common Multiple of 33/184, 3696/6048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/184, 3696/6048 quickly i.e. 462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/184, 3696/6048 is 462.

LCM(33/184, 3696/6048) = 462

LCM of 33/184, 3696/6048

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 33/184,3696/6048

Given numbers are 33/184,3696/6048

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 33,3696

Least Common Multiple of Numerators i.e. LCM of 33,3696 is 3696.

GCF of Denominators means GCF of 184,6048 as per the given fractions.

GCF of 184,6048 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,3696

LCM of Fractions 33/184,3696/6048 is 462

3 33, 3696
11 11, 1232
1, 112

∴ So the LCM of the given numbers is 3 x 11 x 1 x 112 = 3696

Least Common Multiple of 33,3696 with GCF Formula

Least Common Multiple of 33,3696 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 33,3696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,3696) = 33

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

GCF(33,3696) x common factors =33 x 1 = 33

LCM(33,3696) = ( 33 × 3696 ) / 33

LCM(33,3696) = 121968 / 33

LCM(33,3696) = 3696


Lets's calculate GCF of 184,6048

2 184, 6048
2 92, 3024
2 46, 1512
23, 756

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3696/8

Therefore the LCM of Fractions 33/184,3696/6048 is 462

Greatest Common Factor of 184,6048 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,6048 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 6048

List of positive integer factors of 6048 that divides 6048 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,32,36,42,48,54,56,63,72,84,96,108,112,126,144,168,189,216,224,252,288,336,378,432,504,672,756,864,1008,1512,2016,3024,6048

Greatest Common Factor

We found the factors 184,6048 . The biggest common factor number is the GCF number.
So the greatest common factor 184,6048 is 8.


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 33/184, 3696/6048

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 33/184, 3696/6048?

Answer: LCM of Numerators as per given numbers 33/184, 3696/6048 is

LCM of Numerators i.e. for 33,3696 is 3696

GCF of denominators i.e. for 184,6048 is 8.

Thus, LCM of Fractions is 462.Finally, LCM of Fractions for 33/184, 3696/6048 is 462.