Least Common Multiple of 16/242, 80/544, 405/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/242, 80/544, 405/580 quickly i.e. 3240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/242, 80/544, 405/580 is 3240.

LCM(16/242, 80/544, 405/580) = 3240

LCM of 16/242, 80/544, 405/580

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 16/242,80/544,405/580

Given numbers are 16/242,80/544,405/580

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 16,80,405

Least Common Multiple of Numerators i.e. LCM of 16,80,405 is 6480.

GCF of Denominators means GCF of 242,544,580 as per the given fractions.

GCF of 242,544,580 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,80,405

LCM of Fractions 16/242,80/544,405/580 is 3240

2 16, 80, 405
2 8, 40, 405
2 4, 20, 405
2 2, 10, 405
5 1, 5, 405
1, 1, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 1 x 81 = 6480

Least Common Multiple of 16,80,405 with GCF Formula

Least Common Multiple of 16,80,405 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 16,80,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,80,405) = 1

common factors(in case of two or more numbers have common factors) = 80

GCF(16,80,405) x common factors =1 x 80 = 80

LCM(16,80,405) = ( 16 × 80 × 405 ) / 80

LCM(16,80,405) = 518400 / 80

LCM(16,80,405) = 6480


Lets's calculate GCF of 242,544,580

2 242, 544, 580
121, 272, 290

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6480/2

Therefore the LCM of Fractions 16/242,80/544,405/580 is 3240

Greatest Common Factor of 242,544,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,544,580 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 242,544,580 . The biggest common factor number is the GCF number.
So the greatest common factor 242,544,580 is 2.


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 16/242, 80/544, 405/580

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 16/242, 80/544, 405/580?

Answer: LCM of Numerators as per given numbers 16/242, 80/544, 405/580 is

LCM of Numerators i.e. for 16,80,405 is 6480

GCF of denominators i.e. for 242,544,580 is 2.

Thus, LCM of Fractions is 3240.Finally, LCM of Fractions for 16/242, 80/544, 405/580 is 3240.