Least Common Multiple of 33/40, 54/664, 135/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/40, 54/664, 135/249 quickly i.e. 2970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/40, 54/664, 135/249 is 2970.

LCM(33/40, 54/664, 135/249) = 2970

LCM of 33/40, 54/664, 135/249

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 33/40,54/664,135/249

Given numbers are 33/40,54/664,135/249

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 33,54,135

Least Common Multiple of Numerators i.e. LCM of 33,54,135 is 2970.

GCF of Denominators means GCF of 40,664,249 as per the given fractions.

GCF of 40,664,249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,54,135

LCM of Fractions 33/40,54/664,135/249 is 2970

3 33, 54, 135
3 11, 18, 45
3 11, 6, 15
11, 2, 5

∴ So the LCM of the given numbers is 3 x 3 x 3 x 11 x 2 x 5 = 2970

Least Common Multiple of 33,54,135 with GCF Formula

Least Common Multiple of 33,54,135 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 33,54,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,54,135) = 3

common factors(in case of two or more numbers have common factors) = 27

GCF(33,54,135) x common factors =3 x 27 = 81

LCM(33,54,135) = ( 33 × 54 × 135 ) / 81

LCM(33,54,135) = 240570 / 81

LCM(33,54,135) = 2970


Lets's calculate GCF of 40,664,249

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2970/1

Therefore the LCM of Fractions 33/40,54/664,135/249 is 2970

Greatest Common Factor of 40,664,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,664,249 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 40,664,249 . The biggest common factor number is the GCF number.
So the greatest common factor 40,664,249 is 1.


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 33/40, 54/664, 135/249

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 33/40, 54/664, 135/249?

Answer: LCM of Numerators as per given numbers 33/40, 54/664, 135/249 is

LCM of Numerators i.e. for 33,54,135 is 2970

GCF of denominators i.e. for 40,664,249 is 1.

Thus, LCM of Fractions is 2970.Finally, LCM of Fractions for 33/40, 54/664, 135/249 is 2970.