Least Common Multiple of 728/209, 433/380, 458/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/209, 433/380, 458/449 quickly i.e. 72186296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/209, 433/380, 458/449 is 72186296.

LCM(728/209, 433/380, 458/449) = 72186296

LCM of 728/209, 433/380, 458/449

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 728/209,433/380,458/449

Given numbers are 728/209,433/380,458/449

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 728,433,458

Least Common Multiple of Numerators i.e. LCM of 728,433,458 is 72186296.

GCF of Denominators means GCF of 209,380,449 as per the given fractions.

GCF of 209,380,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,433,458

LCM of Fractions 728/209,433/380,458/449 is 72186296

2 728, 433, 458
364, 433, 229

∴ So the LCM of the given numbers is 2 x 364 x 433 x 229 = 72186296

Least Common Multiple of 728,433,458 with GCF Formula

Least Common Multiple of 728,433,458 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 728,433,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,433,458) = 1

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

GCF(728,433,458) x common factors =1 x 2 = 2

LCM(728,433,458) = ( 728 × 433 × 458 ) / 2

LCM(728,433,458) = 144372592 / 2

LCM(728,433,458) = 72186296


Lets's calculate GCF of 209,380,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72186296/1

Therefore the LCM of Fractions 728/209,433/380,458/449 is 72186296

Greatest Common Factor of 209,380,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,380,449 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 209,380,449 . The biggest common factor number is the GCF number.
So the greatest common factor 209,380,449 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 728/209, 433/380, 458/449

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 728/209, 433/380, 458/449?

Answer: LCM of Numerators as per given numbers 728/209, 433/380, 458/449 is

LCM of Numerators i.e. for 728,433,458 is 72186296

GCF of denominators i.e. for 209,380,449 is 1.

Thus, LCM of Fractions is 72186296.Finally, LCM of Fractions for 728/209, 433/380, 458/449 is 72186296.