Least Common Multiple of 6489/465, 3728/4182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6489/465, 3728/4182 quickly i.e. 8063664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6489/465, 3728/4182 is 8063664.

LCM(6489/465, 3728/4182) = 8063664

LCM of 6489/465, 3728/4182

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 6489/465,3728/4182

Given numbers are 6489/465,3728/4182

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 6489,3728

Least Common Multiple of Numerators i.e. LCM of 6489,3728 is 24190992.

GCF of Denominators means GCF of 465,4182 as per the given fractions.

GCF of 465,4182 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6489,3728

LCM of Fractions 6489/465,3728/4182 is 8063664

Given numbers has no common factors except 1. So, there LCM is their product i.e 24190992

Least Common Multiple of 6489,3728 with GCF Formula

Least Common Multiple of 6489,3728 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 6489,3728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6489,3728) = 1

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

GCF(6489,3728) x common factors =1 x 1 = 1

LCM(6489,3728) = ( 6489 × 3728 ) / 1

LCM(6489,3728) = 24190992 / 1

LCM(6489,3728) = 24190992


Lets's calculate GCF of 465,4182

3 465, 4182
155, 1394

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24190992/3

Therefore the LCM of Fractions 6489/465,3728/4182 is 8063664

Greatest Common Factor of 465,4182 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,4182 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 4182

List of positive integer factors of 4182 that divides 4182 without a remainder.

1,2,3,6,17,34,41,51,82,102,123,246,697,1394,2091,4182

Greatest Common Factor

We found the factors 465,4182 . The biggest common factor number is the GCF number.
So the greatest common factor 465,4182 is 3.


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 6489/465, 3728/4182

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 6489/465, 3728/4182?

Answer: LCM of Numerators as per given numbers 6489/465, 3728/4182 is

LCM of Numerators i.e. for 6489,3728 is 24190992

GCF of denominators i.e. for 465,4182 is 3.

Thus, LCM of Fractions is 8063664.Finally, LCM of Fractions for 6489/465, 3728/4182 is 8063664.