Least Common Multiple of 489/342, 5584/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/342, 5584/343 quickly i.e. 2730576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/342, 5584/343 is 2730576.

LCM(489/342, 5584/343) = 2730576

LCM of 489/342, 5584/343

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 489/342,5584/343

Given numbers are 489/342,5584/343

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 489,5584

Least Common Multiple of Numerators i.e. LCM of 489,5584 is 2730576.

GCF of Denominators means GCF of 342,343 as per the given fractions.

GCF of 342,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,5584

LCM of Fractions 489/342,5584/343 is 2730576

Given numbers has no common factors except 1. So, there LCM is their product i.e 2730576

Least Common Multiple of 489,5584 with GCF Formula

Least Common Multiple of 489,5584 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 489,5584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,5584) = 1

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

GCF(489,5584) x common factors =1 x 1 = 1

LCM(489,5584) = ( 489 × 5584 ) / 1

LCM(489,5584) = 2730576 / 1

LCM(489,5584) = 2730576


Lets's calculate GCF of 342,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2730576/1

Therefore the LCM of Fractions 489/342,5584/343 is 2730576

Greatest Common Factor of 342,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,343 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 342,343 . The biggest common factor number is the GCF number.
So the greatest common factor 342,343 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 489/342, 5584/343

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 489/342, 5584/343?

Answer: LCM of Numerators as per given numbers 489/342, 5584/343 is

LCM of Numerators i.e. for 489,5584 is 2730576

GCF of denominators i.e. for 342,343 is 1.

Thus, LCM of Fractions is 2730576.Finally, LCM of Fractions for 489/342, 5584/343 is 2730576.