Least Common Multiple of 6838/409, 7423/8640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6838/409, 7423/8640 quickly i.e. 3904498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6838/409, 7423/8640 is 3904498.

LCM(6838/409, 7423/8640) = 3904498

LCM of 6838/409, 7423/8640

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 6838/409,7423/8640

Given numbers are 6838/409,7423/8640

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 6838,7423

Least Common Multiple of Numerators i.e. LCM of 6838,7423 is 3904498.

GCF of Denominators means GCF of 409,8640 as per the given fractions.

GCF of 409,8640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6838,7423

LCM of Fractions 6838/409,7423/8640 is 3904498

13 6838, 7423
526, 571

∴ So the LCM of the given numbers is 13 x 526 x 571 = 3904498

Least Common Multiple of 6838,7423 with GCF Formula

Least Common Multiple of 6838,7423 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 6838,7423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6838,7423) = 13

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

GCF(6838,7423) x common factors =13 x 1 = 13

LCM(6838,7423) = ( 6838 × 7423 ) / 13

LCM(6838,7423) = 50758474 / 13

LCM(6838,7423) = 3904498


Lets's calculate GCF of 409,8640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3904498/1

Therefore the LCM of Fractions 6838/409,7423/8640 is 3904498

Greatest Common Factor of 409,8640 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,8640 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 8640

List of positive integer factors of 8640 that divides 8640 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640

Greatest Common Factor

We found the factors 409,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 409,8640 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 6838/409, 7423/8640

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 6838/409, 7423/8640?

Answer: LCM of Numerators as per given numbers 6838/409, 7423/8640 is

LCM of Numerators i.e. for 6838,7423 is 3904498

GCF of denominators i.e. for 409,8640 is 1.

Thus, LCM of Fractions is 3904498.Finally, LCM of Fractions for 6838/409, 7423/8640 is 3904498.