Least Common Multiple of 13/509, 72/429, 293/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/509, 72/429, 293/494 quickly i.e. 274248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/509, 72/429, 293/494 is 274248.

LCM(13/509, 72/429, 293/494) = 274248

LCM of 13/509, 72/429, 293/494

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 13/509,72/429,293/494

Given numbers are 13/509,72/429,293/494

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 13,72,293

Least Common Multiple of Numerators i.e. LCM of 13,72,293 is 274248.

GCF of Denominators means GCF of 509,429,494 as per the given fractions.

GCF of 509,429,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,72,293

LCM of Fractions 13/509,72/429,293/494 is 274248

Given numbers has no common factors except 1. So, there LCM is their product i.e 274248

Least Common Multiple of 13,72,293 with GCF Formula

Least Common Multiple of 13,72,293 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 13,72,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,72,293) = 1

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

GCF(13,72,293) x common factors =1 x 1 = 1

LCM(13,72,293) = ( 13 × 72 × 293 ) / 1

LCM(13,72,293) = 274248 / 1

LCM(13,72,293) = 274248


Lets's calculate GCF of 509,429,494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274248/1

Therefore the LCM of Fractions 13/509,72/429,293/494 is 274248

Greatest Common Factor of 509,429,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,429,494 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 509,429,494 . The biggest common factor number is the GCF number.
So the greatest common factor 509,429,494 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 13/509, 72/429, 293/494

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 13/509, 72/429, 293/494?

Answer: LCM of Numerators as per given numbers 13/509, 72/429, 293/494 is

LCM of Numerators i.e. for 13,72,293 is 274248

GCF of denominators i.e. for 509,429,494 is 1.

Thus, LCM of Fractions is 274248.Finally, LCM of Fractions for 13/509, 72/429, 293/494 is 274248.