Least Common Multiple of 16/144, 173/605, 418/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/144, 173/605, 418/640 quickly i.e. 578512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/144, 173/605, 418/640 is 578512.

LCM(16/144, 173/605, 418/640) = 578512

LCM of 16/144, 173/605, 418/640

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 16/144,173/605,418/640

Given numbers are 16/144,173/605,418/640

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 16,173,418

Least Common Multiple of Numerators i.e. LCM of 16,173,418 is 578512.

GCF of Denominators means GCF of 144,605,640 as per the given fractions.

GCF of 144,605,640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,173,418

LCM of Fractions 16/144,173/605,418/640 is 578512

2 16, 173, 418
8, 173, 209

∴ So the LCM of the given numbers is 2 x 8 x 173 x 209 = 578512

Least Common Multiple of 16,173,418 with GCF Formula

Least Common Multiple of 16,173,418 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 16,173,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,173,418) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,173,418) x common factors =1 x 2 = 2

LCM(16,173,418) = ( 16 × 173 × 418 ) / 2

LCM(16,173,418) = 1157024 / 2

LCM(16,173,418) = 578512


Lets's calculate GCF of 144,605,640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 578512/1

Therefore the LCM of Fractions 16/144,173/605,418/640 is 578512

Greatest Common Factor of 144,605,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,605,640 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

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

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 144,605,640 . The biggest common factor number is the GCF number.
So the greatest common factor 144,605,640 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 16/144, 173/605, 418/640

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 16/144, 173/605, 418/640?

Answer: LCM of Numerators as per given numbers 16/144, 173/605, 418/640 is

LCM of Numerators i.e. for 16,173,418 is 578512

GCF of denominators i.e. for 144,605,640 is 1.

Thus, LCM of Fractions is 578512.Finally, LCM of Fractions for 16/144, 173/605, 418/640 is 578512.