Least Common Multiple of 49/243, 19/821, 304/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/243, 19/821, 304/363 quickly i.e. 14896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/243, 19/821, 304/363 is 14896.

LCM(49/243, 19/821, 304/363) = 14896

LCM of 49/243, 19/821, 304/363

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 49/243,19/821,304/363

Given numbers are 49/243,19/821,304/363

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 49,19,304

Least Common Multiple of Numerators i.e. LCM of 49,19,304 is 14896.

GCF of Denominators means GCF of 243,821,363 as per the given fractions.

GCF of 243,821,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,19,304

LCM of Fractions 49/243,19/821,304/363 is 14896

19 49, 19, 304
49, 1, 16

∴ So the LCM of the given numbers is 19 x 49 x 1 x 16 = 14896

Least Common Multiple of 49,19,304 with GCF Formula

Least Common Multiple of 49,19,304 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 49,19,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,19,304) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(49,19,304) x common factors =1 x 19 = 19

LCM(49,19,304) = ( 49 × 19 × 304 ) / 19

LCM(49,19,304) = 283024 / 19

LCM(49,19,304) = 14896


Lets's calculate GCF of 243,821,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14896/1

Therefore the LCM of Fractions 49/243,19/821,304/363 is 14896

Greatest Common Factor of 243,821,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,821,363 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 243,821,363 . The biggest common factor number is the GCF number.
So the greatest common factor 243,821,363 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 49/243, 19/821, 304/363

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 49/243, 19/821, 304/363?

Answer: LCM of Numerators as per given numbers 49/243, 19/821, 304/363 is

LCM of Numerators i.e. for 49,19,304 is 14896

GCF of denominators i.e. for 243,821,363 is 1.

Thus, LCM of Fractions is 14896.Finally, LCM of Fractions for 49/243, 19/821, 304/363 is 14896.