Least Common Multiple of 3469/418, 6024/6809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3469/418, 6024/6809 quickly i.e. 20897256/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3469/418, 6024/6809 is 20897256/11.

LCM(3469/418, 6024/6809) = 20897256/11

LCM of 3469/418, 6024/6809

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 3469/418,6024/6809

Given numbers are 3469/418,6024/6809

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 3469,6024

Least Common Multiple of Numerators i.e. LCM of 3469,6024 is 20897256.

GCF of Denominators means GCF of 418,6809 as per the given fractions.

GCF of 418,6809 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3469,6024

LCM of Fractions 3469/418,6024/6809 is 20897256/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 20897256

Least Common Multiple of 3469,6024 with GCF Formula

Least Common Multiple of 3469,6024 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 3469,6024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3469,6024) = 1

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

GCF(3469,6024) x common factors =1 x 1 = 1

LCM(3469,6024) = ( 3469 × 6024 ) / 1

LCM(3469,6024) = 20897256 / 1

LCM(3469,6024) = 20897256


Lets's calculate GCF of 418,6809

11 418, 6809
38, 619

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20897256/11

Therefore the LCM of Fractions 3469/418,6024/6809 is 20897256/11

Greatest Common Factor of 418,6809 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,6809 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 6809

List of positive integer factors of 6809 that divides 6809 without a remainder.

1,11,619,6809

Greatest Common Factor

We found the factors 418,6809 . The biggest common factor number is the GCF number.
So the greatest common factor 418,6809 is 11.


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 3469/418, 6024/6809

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 3469/418, 6024/6809?

Answer: LCM of Numerators as per given numbers 3469/418, 6024/6809 is

LCM of Numerators i.e. for 3469,6024 is 20897256

GCF of denominators i.e. for 418,6809 is 11.

Thus, LCM of Fractions is 20897256/11.Finally, LCM of Fractions for 3469/418, 6024/6809 is 20897256/11.