Least Common Multiple of 33/21, 71/54, 379/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/21, 71/54, 379/882 quickly i.e. 295999 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/21, 71/54, 379/882 is 295999.

LCM(33/21, 71/54, 379/882) = 295999

LCM of 33/21, 71/54, 379/882

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 33/21,71/54,379/882

Given numbers are 33/21,71/54,379/882

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 33,71,379

Least Common Multiple of Numerators i.e. LCM of 33,71,379 is 887997.

GCF of Denominators means GCF of 21,54,882 as per the given fractions.

GCF of 21,54,882 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,71,379

LCM of Fractions 33/21,71/54,379/882 is 295999

Given numbers has no common factors except 1. So, there LCM is their product i.e 887997

Least Common Multiple of 33,71,379 with GCF Formula

Least Common Multiple of 33,71,379 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 33,71,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,71,379) = 1

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

GCF(33,71,379) x common factors =1 x 1 = 1

LCM(33,71,379) = ( 33 × 71 × 379 ) / 1

LCM(33,71,379) = 887997 / 1

LCM(33,71,379) = 887997


Lets's calculate GCF of 21,54,882

3 21, 54, 882
7, 18, 294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 887997/3

Therefore the LCM of Fractions 33/21,71/54,379/882 is 295999

Greatest Common Factor of 21,54,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,54,882 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

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 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 21,54,882 . The biggest common factor number is the GCF number.
So the greatest common factor 21,54,882 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 33/21, 71/54, 379/882

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 33/21, 71/54, 379/882?

Answer: LCM of Numerators as per given numbers 33/21, 71/54, 379/882 is

LCM of Numerators i.e. for 33,71,379 is 887997

GCF of denominators i.e. for 21,54,882 is 3.

Thus, LCM of Fractions is 295999.Finally, LCM of Fractions for 33/21, 71/54, 379/882 is 295999.