Least Common Multiple of 287/16, 565/33, 271/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 287/16, 565/33, 271/368 quickly i.e. 43944005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 287/16, 565/33, 271/368 is 43944005.

LCM(287/16, 565/33, 271/368) = 43944005

LCM of 287/16, 565/33, 271/368

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 287/16,565/33,271/368

Given numbers are 287/16,565/33,271/368

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 287,565,271

Least Common Multiple of Numerators i.e. LCM of 287,565,271 is 43944005.

GCF of Denominators means GCF of 16,33,368 as per the given fractions.

GCF of 16,33,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 287,565,271

LCM of Fractions 287/16,565/33,271/368 is 43944005

Given numbers has no common factors except 1. So, there LCM is their product i.e 43944005

Least Common Multiple of 287,565,271 with GCF Formula

Least Common Multiple of 287,565,271 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 287,565,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,565,271) = 1

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

GCF(287,565,271) x common factors =1 x 1 = 1

LCM(287,565,271) = ( 287 × 565 × 271 ) / 1

LCM(287,565,271) = 43944005 / 1

LCM(287,565,271) = 43944005


Lets's calculate GCF of 16,33,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43944005/1

Therefore the LCM of Fractions 287/16,565/33,271/368 is 43944005

Greatest Common Factor of 16,33,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,33,368 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 16,33,368 . The biggest common factor number is the GCF number.
So the greatest common factor 16,33,368 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 287/16, 565/33, 271/368

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 287/16, 565/33, 271/368?

Answer: LCM of Numerators as per given numbers 287/16, 565/33, 271/368 is

LCM of Numerators i.e. for 287,565,271 is 43944005

GCF of denominators i.e. for 16,33,368 is 1.

Thus, LCM of Fractions is 43944005.Finally, LCM of Fractions for 287/16, 565/33, 271/368 is 43944005.