Least Common Multiple of 33/376, 24/282, 291/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/376, 24/282, 291/888 quickly i.e. 12804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/376, 24/282, 291/888 is 12804.

LCM(33/376, 24/282, 291/888) = 12804

LCM of 33/376, 24/282, 291/888

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 33/376,24/282,291/888

Given numbers are 33/376,24/282,291/888

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 33,24,291

Least Common Multiple of Numerators i.e. LCM of 33,24,291 is 25608.

GCF of Denominators means GCF of 376,282,888 as per the given fractions.

GCF of 376,282,888 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,24,291

LCM of Fractions 33/376,24/282,291/888 is 12804

3 33, 24, 291
11, 8, 97

∴ So the LCM of the given numbers is 3 x 11 x 8 x 97 = 25608

Least Common Multiple of 33,24,291 with GCF Formula

Least Common Multiple of 33,24,291 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 33,24,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,24,291) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(33,24,291) x common factors =3 x 3 = 9

LCM(33,24,291) = ( 33 × 24 × 291 ) / 9

LCM(33,24,291) = 230472 / 9

LCM(33,24,291) = 25608


Lets's calculate GCF of 376,282,888

2 376, 282, 888
188, 141, 444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25608/2

Therefore the LCM of Fractions 33/376,24/282,291/888 is 12804

Greatest Common Factor of 376,282,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,282,888 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 376,282,888 . The biggest common factor number is the GCF number.
So the greatest common factor 376,282,888 is 2.


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 33/376, 24/282, 291/888

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 33/376, 24/282, 291/888?

Answer: LCM of Numerators as per given numbers 33/376, 24/282, 291/888 is

LCM of Numerators i.e. for 33,24,291 is 25608

GCF of denominators i.e. for 376,282,888 is 2.

Thus, LCM of Fractions is 12804.Finally, LCM of Fractions for 33/376, 24/282, 291/888 is 12804.