Least Common Multiple of 13/367, 466/39, 337/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/367, 466/39, 337/514 quickly i.e. 2041546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/367, 466/39, 337/514 is 2041546.

LCM(13/367, 466/39, 337/514) = 2041546

LCM of 13/367, 466/39, 337/514

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 13/367,466/39,337/514

Given numbers are 13/367,466/39,337/514

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 13,466,337

Least Common Multiple of Numerators i.e. LCM of 13,466,337 is 2041546.

GCF of Denominators means GCF of 367,39,514 as per the given fractions.

GCF of 367,39,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,466,337

LCM of Fractions 13/367,466/39,337/514 is 2041546

Given numbers has no common factors except 1. So, there LCM is their product i.e 2041546

Least Common Multiple of 13,466,337 with GCF Formula

Least Common Multiple of 13,466,337 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 13,466,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,466,337) = 1

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

GCF(13,466,337) x common factors =1 x 1 = 1

LCM(13,466,337) = ( 13 × 466 × 337 ) / 1

LCM(13,466,337) = 2041546 / 1

LCM(13,466,337) = 2041546


Lets's calculate GCF of 367,39,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2041546/1

Therefore the LCM of Fractions 13/367,466/39,337/514 is 2041546

Greatest Common Factor of 367,39,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,39,514 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 367,39,514 . The biggest common factor number is the GCF number.
So the greatest common factor 367,39,514 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 13/367, 466/39, 337/514

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 13/367, 466/39, 337/514?

Answer: LCM of Numerators as per given numbers 13/367, 466/39, 337/514 is

LCM of Numerators i.e. for 13,466,337 is 2041546

GCF of denominators i.e. for 367,39,514 is 1.

Thus, LCM of Fractions is 2041546.Finally, LCM of Fractions for 13/367, 466/39, 337/514 is 2041546.