Least Common Multiple of 344/404, 338/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/404, 338/728 quickly i.e. 14534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/404, 338/728 is 14534.

LCM(344/404, 338/728) = 14534

LCM of 344/404, 338/728

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 344/404,338/728

Given numbers are 344/404,338/728

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 344,338

Least Common Multiple of Numerators i.e. LCM of 344,338 is 58136.

GCF of Denominators means GCF of 404,728 as per the given fractions.

GCF of 404,728 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,338

LCM of Fractions 344/404,338/728 is 14534

2 344, 338
172, 169

∴ So the LCM of the given numbers is 2 x 172 x 169 = 58136

Least Common Multiple of 344,338 with GCF Formula

Least Common Multiple of 344,338 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 344,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,338) = 2

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

GCF(344,338) x common factors =2 x 1 = 2

LCM(344,338) = ( 344 × 338 ) / 2

LCM(344,338) = 116272 / 2

LCM(344,338) = 58136


Lets's calculate GCF of 404,728

2 404, 728
2 202, 364
101, 182

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58136/4

Therefore the LCM of Fractions 344/404,338/728 is 14534

Greatest Common Factor of 404,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,728 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 404,728 . The biggest common factor number is the GCF number.
So the greatest common factor 404,728 is 4.


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 344/404, 338/728

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 344/404, 338/728?

Answer: LCM of Numerators as per given numbers 344/404, 338/728 is

LCM of Numerators i.e. for 344,338 is 58136

GCF of denominators i.e. for 404,728 is 4.

Thus, LCM of Fractions is 14534.Finally, LCM of Fractions for 344/404, 338/728 is 14534.