Least Common Multiple of 339/14, 593/1406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 339/14, 593/1406 quickly i.e. 201027/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 339/14, 593/1406 is 201027/2.

LCM(339/14, 593/1406) = 201027/2

LCM of 339/14, 593/1406

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 339/14,593/1406

Given numbers are 339/14,593/1406

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 339,593

Least Common Multiple of Numerators i.e. LCM of 339,593 is 201027.

GCF of Denominators means GCF of 14,1406 as per the given fractions.

GCF of 14,1406 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 339,593

LCM of Fractions 339/14,593/1406 is 201027/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 201027

Least Common Multiple of 339,593 with GCF Formula

Least Common Multiple of 339,593 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 339,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,593) = 1

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

GCF(339,593) x common factors =1 x 1 = 1

LCM(339,593) = ( 339 × 593 ) / 1

LCM(339,593) = 201027 / 1

LCM(339,593) = 201027


Lets's calculate GCF of 14,1406

2 14, 1406
7, 703

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201027/2

Therefore the LCM of Fractions 339/14,593/1406 is 201027/2

Greatest Common Factor of 14,1406 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,1406 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 1406

List of positive integer factors of 1406 that divides 1406 without a remainder.

1,2,19,37,38,74,703,1406

Greatest Common Factor

We found the factors 14,1406 . The biggest common factor number is the GCF number.
So the greatest common factor 14,1406 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 339/14, 593/1406

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 339/14, 593/1406?

Answer: LCM of Numerators as per given numbers 339/14, 593/1406 is

LCM of Numerators i.e. for 339,593 is 201027

GCF of denominators i.e. for 14,1406 is 2.

Thus, LCM of Fractions is 201027/2.Finally, LCM of Fractions for 339/14, 593/1406 is 201027/2.