Least Common Multiple of 33/54, 40/15, 38/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/54, 40/15, 38/309 quickly i.e. 8360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/54, 40/15, 38/309 is 8360.

LCM(33/54, 40/15, 38/309) = 8360

LCM of 33/54, 40/15, 38/309

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 33/54,40/15,38/309

Given numbers are 33/54,40/15,38/309

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 33,40,38

Least Common Multiple of Numerators i.e. LCM of 33,40,38 is 25080.

GCF of Denominators means GCF of 54,15,309 as per the given fractions.

GCF of 54,15,309 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,40,38

LCM of Fractions 33/54,40/15,38/309 is 8360

2 33, 40, 38
33, 20, 19

∴ So the LCM of the given numbers is 2 x 33 x 20 x 19 = 25080

Least Common Multiple of 33,40,38 with GCF Formula

Least Common Multiple of 33,40,38 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 33,40,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,40,38) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(33,40,38) x common factors =1 x 2 = 2

LCM(33,40,38) = ( 33 × 40 × 38 ) / 2

LCM(33,40,38) = 50160 / 2

LCM(33,40,38) = 25080


Lets's calculate GCF of 54,15,309

3 54, 15, 309
18, 5, 103

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25080/3

Therefore the LCM of Fractions 33/54,40/15,38/309 is 8360

Greatest Common Factor of 54,15,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,15,309 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 54,15,309 . The biggest common factor number is the GCF number.
So the greatest common factor 54,15,309 is 3.


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 33/54, 40/15, 38/309

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 33/54, 40/15, 38/309?

Answer: LCM of Numerators as per given numbers 33/54, 40/15, 38/309 is

LCM of Numerators i.e. for 33,40,38 is 25080

GCF of denominators i.e. for 54,15,309 is 3.

Thus, LCM of Fractions is 8360.Finally, LCM of Fractions for 33/54, 40/15, 38/309 is 8360.