Least Common Multiple of 14/589, 37/120, 165/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/589, 37/120, 165/227 quickly i.e. 85470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/589, 37/120, 165/227 is 85470.

LCM(14/589, 37/120, 165/227) = 85470

LCM of 14/589, 37/120, 165/227

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 14/589,37/120,165/227

Given numbers are 14/589,37/120,165/227

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 14,37,165

Least Common Multiple of Numerators i.e. LCM of 14,37,165 is 85470.

GCF of Denominators means GCF of 589,120,227 as per the given fractions.

GCF of 589,120,227 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,37,165

LCM of Fractions 14/589,37/120,165/227 is 85470

Given numbers has no common factors except 1. So, there LCM is their product i.e 85470

Least Common Multiple of 14,37,165 with GCF Formula

Least Common Multiple of 14,37,165 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 14,37,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,37,165) = 1

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

GCF(14,37,165) x common factors =1 x 1 = 1

LCM(14,37,165) = ( 14 × 37 × 165 ) / 1

LCM(14,37,165) = 85470 / 1

LCM(14,37,165) = 85470


Lets's calculate GCF of 589,120,227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85470/1

Therefore the LCM of Fractions 14/589,37/120,165/227 is 85470

Greatest Common Factor of 589,120,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,120,227 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 589,120,227 . The biggest common factor number is the GCF number.
So the greatest common factor 589,120,227 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 14/589, 37/120, 165/227

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 14/589, 37/120, 165/227?

Answer: LCM of Numerators as per given numbers 14/589, 37/120, 165/227 is

LCM of Numerators i.e. for 14,37,165 is 85470

GCF of denominators i.e. for 589,120,227 is 1.

Thus, LCM of Fractions is 85470.Finally, LCM of Fractions for 14/589, 37/120, 165/227 is 85470.