Least Common Multiple of 33/704, 4005/9288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/704, 4005/9288 quickly i.e. 44055/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/704, 4005/9288 is 44055/8.

LCM(33/704, 4005/9288) = 44055/8

LCM of 33/704, 4005/9288

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 33/704,4005/9288

Given numbers are 33/704,4005/9288

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 33,4005

Least Common Multiple of Numerators i.e. LCM of 33,4005 is 44055.

GCF of Denominators means GCF of 704,9288 as per the given fractions.

GCF of 704,9288 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,4005

LCM of Fractions 33/704,4005/9288 is 44055/8

3 33, 4005
11, 1335

∴ So the LCM of the given numbers is 3 x 11 x 1335 = 44055

Least Common Multiple of 33,4005 with GCF Formula

Least Common Multiple of 33,4005 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 33,4005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,4005) = 3

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

GCF(33,4005) x common factors =3 x 1 = 3

LCM(33,4005) = ( 33 × 4005 ) / 3

LCM(33,4005) = 132165 / 3

LCM(33,4005) = 44055


Lets's calculate GCF of 704,9288

2 704, 9288
2 352, 4644
2 176, 2322
88, 1161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44055/8

Therefore the LCM of Fractions 33/704,4005/9288 is 44055/8

Greatest Common Factor of 704,9288 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,9288 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 9288

List of positive integer factors of 9288 that divides 9288 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,43,54,72,86,108,129,172,216,258,344,387,516,774,1032,1161,1548,2322,3096,4644,9288

Greatest Common Factor

We found the factors 704,9288 . The biggest common factor number is the GCF number.
So the greatest common factor 704,9288 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 33/704, 4005/9288

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 33/704, 4005/9288?

Answer: LCM of Numerators as per given numbers 33/704, 4005/9288 is

LCM of Numerators i.e. for 33,4005 is 44055

GCF of denominators i.e. for 704,9288 is 8.

Thus, LCM of Fractions is 44055/8.Finally, LCM of Fractions for 33/704, 4005/9288 is 44055/8.