Least Common Multiple of 184/389, 3421/9819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 184/389, 3421/9819 quickly i.e. 629464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 184/389, 3421/9819 is 629464.

LCM(184/389, 3421/9819) = 629464

LCM of 184/389, 3421/9819

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 184/389,3421/9819

Given numbers are 184/389,3421/9819

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 184,3421

Least Common Multiple of Numerators i.e. LCM of 184,3421 is 629464.

GCF of Denominators means GCF of 389,9819 as per the given fractions.

GCF of 389,9819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 184,3421

LCM of Fractions 184/389,3421/9819 is 629464

Given numbers has no common factors except 1. So, there LCM is their product i.e 629464

Least Common Multiple of 184,3421 with GCF Formula

Least Common Multiple of 184,3421 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 184,3421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,3421) = 1

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

GCF(184,3421) x common factors =1 x 1 = 1

LCM(184,3421) = ( 184 × 3421 ) / 1

LCM(184,3421) = 629464 / 1

LCM(184,3421) = 629464


Lets's calculate GCF of 389,9819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 629464/1

Therefore the LCM of Fractions 184/389,3421/9819 is 629464

Greatest Common Factor of 389,9819 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,9819 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 9819

List of positive integer factors of 9819 that divides 9819 without a remainder.

1,3,9,1091,3273,9819

Greatest Common Factor

We found the factors 389,9819 . The biggest common factor number is the GCF number.
So the greatest common factor 389,9819 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 184/389, 3421/9819

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 184/389, 3421/9819?

Answer: LCM of Numerators as per given numbers 184/389, 3421/9819 is

LCM of Numerators i.e. for 184,3421 is 629464

GCF of denominators i.e. for 389,9819 is 1.

Thus, LCM of Fractions is 629464.Finally, LCM of Fractions for 184/389, 3421/9819 is 629464.