Least Common Multiple of 143/96, 285/85, 903/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 143/96, 285/85, 903/192 quickly i.e. 12267255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 143/96, 285/85, 903/192 is 12267255.

LCM(143/96, 285/85, 903/192) = 12267255

LCM of 143/96, 285/85, 903/192

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 143/96,285/85,903/192

Given numbers are 143/96,285/85,903/192

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 143,285,903

Least Common Multiple of Numerators i.e. LCM of 143,285,903 is 12267255.

GCF of Denominators means GCF of 96,85,192 as per the given fractions.

GCF of 96,85,192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 143,285,903

LCM of Fractions 143/96,285/85,903/192 is 12267255

3 143, 285, 903
143, 95, 301

∴ So the LCM of the given numbers is 3 x 143 x 95 x 301 = 12267255

Least Common Multiple of 143,285,903 with GCF Formula

Least Common Multiple of 143,285,903 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 143,285,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,285,903) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(143,285,903) x common factors =1 x 3 = 3

LCM(143,285,903) = ( 143 × 285 × 903 ) / 3

LCM(143,285,903) = 36801765 / 3

LCM(143,285,903) = 12267255


Lets's calculate GCF of 96,85,192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12267255/1

Therefore the LCM of Fractions 143/96,285/85,903/192 is 12267255

Greatest Common Factor of 96,85,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,85,192 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 96,85,192 . The biggest common factor number is the GCF number.
So the greatest common factor 96,85,192 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 143/96, 285/85, 903/192

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 143/96, 285/85, 903/192?

Answer: LCM of Numerators as per given numbers 143/96, 285/85, 903/192 is

LCM of Numerators i.e. for 143,285,903 is 12267255

GCF of denominators i.e. for 96,85,192 is 1.

Thus, LCM of Fractions is 12267255.Finally, LCM of Fractions for 143/96, 285/85, 903/192 is 12267255.