Least Common Multiple of 72/14, 41/483, 165/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/14, 41/483, 165/314 quickly i.e. 162360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/14, 41/483, 165/314 is 162360.

LCM(72/14, 41/483, 165/314) = 162360

LCM of 72/14, 41/483, 165/314

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 72/14,41/483,165/314

Given numbers are 72/14,41/483,165/314

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 72,41,165

Least Common Multiple of Numerators i.e. LCM of 72,41,165 is 162360.

GCF of Denominators means GCF of 14,483,314 as per the given fractions.

GCF of 14,483,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,41,165

LCM of Fractions 72/14,41/483,165/314 is 162360

3 72, 41, 165
24, 41, 55

∴ So the LCM of the given numbers is 3 x 24 x 41 x 55 = 162360

Least Common Multiple of 72,41,165 with GCF Formula

Least Common Multiple of 72,41,165 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 72,41,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,41,165) = 1

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

GCF(72,41,165) x common factors =1 x 3 = 3

LCM(72,41,165) = ( 72 × 41 × 165 ) / 3

LCM(72,41,165) = 487080 / 3

LCM(72,41,165) = 162360


Lets's calculate GCF of 14,483,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162360/1

Therefore the LCM of Fractions 72/14,41/483,165/314 is 162360

Greatest Common Factor of 14,483,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,483,314 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 14,483,314 . The biggest common factor number is the GCF number.
So the greatest common factor 14,483,314 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 72/14, 41/483, 165/314

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 72/14, 41/483, 165/314?

Answer: LCM of Numerators as per given numbers 72/14, 41/483, 165/314 is

LCM of Numerators i.e. for 72,41,165 is 162360

GCF of denominators i.e. for 14,483,314 is 1.

Thus, LCM of Fractions is 162360.Finally, LCM of Fractions for 72/14, 41/483, 165/314 is 162360.