Least Common Multiple of 11/344, 3040/3423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/344, 3040/3423 quickly i.e. 33440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/344, 3040/3423 is 33440.

LCM(11/344, 3040/3423) = 33440

LCM of 11/344, 3040/3423

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 11/344,3040/3423

Given numbers are 11/344,3040/3423

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 11,3040

Least Common Multiple of Numerators i.e. LCM of 11,3040 is 33440.

GCF of Denominators means GCF of 344,3423 as per the given fractions.

GCF of 344,3423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,3040

LCM of Fractions 11/344,3040/3423 is 33440

Given numbers has no common factors except 1. So, there LCM is their product i.e 33440

Least Common Multiple of 11,3040 with GCF Formula

Least Common Multiple of 11,3040 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 11,3040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,3040) = 1

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

GCF(11,3040) x common factors =1 x 1 = 1

LCM(11,3040) = ( 11 × 3040 ) / 1

LCM(11,3040) = 33440 / 1

LCM(11,3040) = 33440


Lets's calculate GCF of 344,3423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33440/1

Therefore the LCM of Fractions 11/344,3040/3423 is 33440

Greatest Common Factor of 344,3423 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,3423 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 3423

List of positive integer factors of 3423 that divides 3423 without a remainder.

1,3,7,21,163,489,1141,3423

Greatest Common Factor

We found the factors 344,3423 . The biggest common factor number is the GCF number.
So the greatest common factor 344,3423 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/344, 3040/3423

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 11/344, 3040/3423?

Answer: LCM of Numerators as per given numbers 11/344, 3040/3423 is

LCM of Numerators i.e. for 11,3040 is 33440

GCF of denominators i.e. for 344,3423 is 1.

Thus, LCM of Fractions is 33440.Finally, LCM of Fractions for 11/344, 3040/3423 is 33440.