Least Common Multiple of 27/144, 893/73, 304/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/144, 893/73, 304/285 quickly i.e. 385776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/144, 893/73, 304/285 is 385776.

LCM(27/144, 893/73, 304/285) = 385776

LCM of 27/144, 893/73, 304/285

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 27/144,893/73,304/285

Given numbers are 27/144,893/73,304/285

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 27,893,304

Least Common Multiple of Numerators i.e. LCM of 27,893,304 is 385776.

GCF of Denominators means GCF of 144,73,285 as per the given fractions.

GCF of 144,73,285 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,893,304

LCM of Fractions 27/144,893/73,304/285 is 385776

19 27, 893, 304
27, 47, 16

∴ So the LCM of the given numbers is 19 x 27 x 47 x 16 = 385776

Least Common Multiple of 27,893,304 with GCF Formula

Least Common Multiple of 27,893,304 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 27,893,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,893,304) = 1

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

GCF(27,893,304) x common factors =1 x 19 = 19

LCM(27,893,304) = ( 27 × 893 × 304 ) / 19

LCM(27,893,304) = 7329744 / 19

LCM(27,893,304) = 385776


Lets's calculate GCF of 144,73,285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385776/1

Therefore the LCM of Fractions 27/144,893/73,304/285 is 385776

Greatest Common Factor of 144,73,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,73,285 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 144,73,285 . The biggest common factor number is the GCF number.
So the greatest common factor 144,73,285 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 27/144, 893/73, 304/285

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 27/144, 893/73, 304/285?

Answer: LCM of Numerators as per given numbers 27/144, 893/73, 304/285 is

LCM of Numerators i.e. for 27,893,304 is 385776

GCF of denominators i.e. for 144,73,285 is 1.

Thus, LCM of Fractions is 385776.Finally, LCM of Fractions for 27/144, 893/73, 304/285 is 385776.