Least Common Multiple of 71/239, 16/300, 324/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/239, 16/300, 324/143 quickly i.e. 92016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/239, 16/300, 324/143 is 92016.

LCM(71/239, 16/300, 324/143) = 92016

LCM of 71/239, 16/300, 324/143

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 71/239,16/300,324/143

Given numbers are 71/239,16/300,324/143

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 71,16,324

Least Common Multiple of Numerators i.e. LCM of 71,16,324 is 92016.

GCF of Denominators means GCF of 239,300,143 as per the given fractions.

GCF of 239,300,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,16,324

LCM of Fractions 71/239,16/300,324/143 is 92016

2 71, 16, 324
2 71, 8, 162
71, 4, 81

∴ So the LCM of the given numbers is 2 x 2 x 71 x 4 x 81 = 92016

Least Common Multiple of 71,16,324 with GCF Formula

Least Common Multiple of 71,16,324 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 71,16,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,16,324) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(71,16,324) x common factors =1 x 4 = 4

LCM(71,16,324) = ( 71 × 16 × 324 ) / 4

LCM(71,16,324) = 368064 / 4

LCM(71,16,324) = 92016


Lets's calculate GCF of 239,300,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92016/1

Therefore the LCM of Fractions 71/239,16/300,324/143 is 92016

Greatest Common Factor of 239,300,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,300,143 By Matching Biggest Common Factor Method

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 239,300,143 . The biggest common factor number is the GCF number.
So the greatest common factor 239,300,143 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 71/239, 16/300, 324/143

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 71/239, 16/300, 324/143?

Answer: LCM of Numerators as per given numbers 71/239, 16/300, 324/143 is

LCM of Numerators i.e. for 71,16,324 is 92016

GCF of denominators i.e. for 239,300,143 is 1.

Thus, LCM of Fractions is 92016.Finally, LCM of Fractions for 71/239, 16/300, 324/143 is 92016.