Least Common Multiple of 494/365, 1728/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/365, 1728/394 quickly i.e. 426816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/365, 1728/394 is 426816.

LCM(494/365, 1728/394) = 426816

LCM of 494/365, 1728/394

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 494/365,1728/394

Given numbers are 494/365,1728/394

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 494,1728

Least Common Multiple of Numerators i.e. LCM of 494,1728 is 426816.

GCF of Denominators means GCF of 365,394 as per the given fractions.

GCF of 365,394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,1728

LCM of Fractions 494/365,1728/394 is 426816

2 494, 1728
247, 864

∴ So the LCM of the given numbers is 2 x 247 x 864 = 426816

Least Common Multiple of 494,1728 with GCF Formula

Least Common Multiple of 494,1728 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 494,1728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,1728) = 2

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

GCF(494,1728) x common factors =2 x 1 = 2

LCM(494,1728) = ( 494 × 1728 ) / 2

LCM(494,1728) = 853632 / 2

LCM(494,1728) = 426816


Lets's calculate GCF of 365,394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426816/1

Therefore the LCM of Fractions 494/365,1728/394 is 426816

Greatest Common Factor of 365,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,394 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 365,394 . The biggest common factor number is the GCF number.
So the greatest common factor 365,394 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 494/365, 1728/394

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 494/365, 1728/394?

Answer: LCM of Numerators as per given numbers 494/365, 1728/394 is

LCM of Numerators i.e. for 494,1728 is 426816

GCF of denominators i.e. for 365,394 is 1.

Thus, LCM of Fractions is 426816.Finally, LCM of Fractions for 494/365, 1728/394 is 426816.