Least Common Multiple of 6806/233, 1800/5326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6806/233, 1800/5326 quickly i.e. 6125400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6806/233, 1800/5326 is 6125400.

LCM(6806/233, 1800/5326) = 6125400

LCM of 6806/233, 1800/5326

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 6806/233,1800/5326

Given numbers are 6806/233,1800/5326

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 6806,1800

Least Common Multiple of Numerators i.e. LCM of 6806,1800 is 6125400.

GCF of Denominators means GCF of 233,5326 as per the given fractions.

GCF of 233,5326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6806,1800

LCM of Fractions 6806/233,1800/5326 is 6125400

2 6806, 1800
3403, 900

∴ So the LCM of the given numbers is 2 x 3403 x 900 = 6125400

Least Common Multiple of 6806,1800 with GCF Formula

Least Common Multiple of 6806,1800 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 6806,1800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6806,1800) = 2

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

GCF(6806,1800) x common factors =2 x 1 = 2

LCM(6806,1800) = ( 6806 × 1800 ) / 2

LCM(6806,1800) = 12250800 / 2

LCM(6806,1800) = 6125400


Lets's calculate GCF of 233,5326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6125400/1

Therefore the LCM of Fractions 6806/233,1800/5326 is 6125400

Greatest Common Factor of 233,5326 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,5326 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 5326

List of positive integer factors of 5326 that divides 5326 without a remainder.

1,2,2663,5326

Greatest Common Factor

We found the factors 233,5326 . The biggest common factor number is the GCF number.
So the greatest common factor 233,5326 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 6806/233, 1800/5326

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 6806/233, 1800/5326?

Answer: LCM of Numerators as per given numbers 6806/233, 1800/5326 is

LCM of Numerators i.e. for 6806,1800 is 6125400

GCF of denominators i.e. for 233,5326 is 1.

Thus, LCM of Fractions is 6125400.Finally, LCM of Fractions for 6806/233, 1800/5326 is 6125400.