Least Common Multiple of 327/882, 4494/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 327/882, 4494/357 quickly i.e. 23326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/882, 4494/357 is 23326.

LCM(327/882, 4494/357) = 23326

LCM of 327/882, 4494/357

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 327/882,4494/357

Given numbers are 327/882,4494/357

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 327,4494

Least Common Multiple of Numerators i.e. LCM of 327,4494 is 489846.

GCF of Denominators means GCF of 882,357 as per the given fractions.

GCF of 882,357 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,4494

LCM of Fractions 327/882,4494/357 is 23326

3 327, 4494
109, 1498

∴ So the LCM of the given numbers is 3 x 109 x 1498 = 489846

Least Common Multiple of 327,4494 with GCF Formula

Least Common Multiple of 327,4494 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 327,4494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,4494) = 3

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

GCF(327,4494) x common factors =3 x 1 = 3

LCM(327,4494) = ( 327 × 4494 ) / 3

LCM(327,4494) = 1469538 / 3

LCM(327,4494) = 489846


Lets's calculate GCF of 882,357

3 882, 357
7 294, 119
42, 17

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489846/21

Therefore the LCM of Fractions 327/882,4494/357 is 23326

Greatest Common Factor of 882,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,357 By Matching Biggest Common Factor Method

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

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 882,357 . The biggest common factor number is the GCF number.
So the greatest common factor 882,357 is 21.


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 327/882, 4494/357

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 327/882, 4494/357?

Answer: LCM of Numerators as per given numbers 327/882, 4494/357 is

LCM of Numerators i.e. for 327,4494 is 489846

GCF of denominators i.e. for 882,357 is 21.

Thus, LCM of Fractions is 23326.Finally, LCM of Fractions for 327/882, 4494/357 is 23326.