Least Common Multiple of 33/16, 143/47, 905/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/16, 143/47, 905/288 quickly i.e. 388245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/16, 143/47, 905/288 is 388245.

LCM(33/16, 143/47, 905/288) = 388245

LCM of 33/16, 143/47, 905/288

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 33/16,143/47,905/288

Given numbers are 33/16,143/47,905/288

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 33,143,905

Least Common Multiple of Numerators i.e. LCM of 33,143,905 is 388245.

GCF of Denominators means GCF of 16,47,288 as per the given fractions.

GCF of 16,47,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,143,905

LCM of Fractions 33/16,143/47,905/288 is 388245

11 33, 143, 905
3, 13, 905

∴ So the LCM of the given numbers is 11 x 3 x 13 x 905 = 388245

Least Common Multiple of 33,143,905 with GCF Formula

Least Common Multiple of 33,143,905 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 33,143,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,143,905) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(33,143,905) x common factors =1 x 11 = 11

LCM(33,143,905) = ( 33 × 143 × 905 ) / 11

LCM(33,143,905) = 4270695 / 11

LCM(33,143,905) = 388245


Lets's calculate GCF of 16,47,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388245/1

Therefore the LCM of Fractions 33/16,143/47,905/288 is 388245

Greatest Common Factor of 16,47,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,47,288 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 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 16,47,288 . The biggest common factor number is the GCF number.
So the greatest common factor 16,47,288 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 33/16, 143/47, 905/288

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 33/16, 143/47, 905/288?

Answer: LCM of Numerators as per given numbers 33/16, 143/47, 905/288 is

LCM of Numerators i.e. for 33,143,905 is 388245

GCF of denominators i.e. for 16,47,288 is 1.

Thus, LCM of Fractions is 388245.Finally, LCM of Fractions for 33/16, 143/47, 905/288 is 388245.