Least Common Multiple of 682/11, 323/3443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/11, 323/3443 quickly i.e. 20026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/11, 323/3443 is 20026.

LCM(682/11, 323/3443) = 20026

LCM of 682/11, 323/3443

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 682/11,323/3443

Given numbers are 682/11,323/3443

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 682,323

Least Common Multiple of Numerators i.e. LCM of 682,323 is 220286.

GCF of Denominators means GCF of 11,3443 as per the given fractions.

GCF of 11,3443 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,323

LCM of Fractions 682/11,323/3443 is 20026

Given numbers has no common factors except 1. So, there LCM is their product i.e 220286

Least Common Multiple of 682,323 with GCF Formula

Least Common Multiple of 682,323 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 682,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,323) = 1

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

GCF(682,323) x common factors =1 x 1 = 1

LCM(682,323) = ( 682 × 323 ) / 1

LCM(682,323) = 220286 / 1

LCM(682,323) = 220286


Lets's calculate GCF of 11,3443

11 11, 3443
1, 313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220286/11

Therefore the LCM of Fractions 682/11,323/3443 is 20026

Greatest Common Factor of 11,3443 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,3443 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 3443

List of positive integer factors of 3443 that divides 3443 without a remainder.

1,11,313,3443

Greatest Common Factor

We found the factors 11,3443 . The biggest common factor number is the GCF number.
So the greatest common factor 11,3443 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 682/11, 323/3443

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 682/11, 323/3443?

Answer: LCM of Numerators as per given numbers 682/11, 323/3443 is

LCM of Numerators i.e. for 682,323 is 220286

GCF of denominators i.e. for 11,3443 is 11.

Thus, LCM of Fractions is 20026.Finally, LCM of Fractions for 682/11, 323/3443 is 20026.