Least Common Multiple of 500/518, 511/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/518, 511/731 quickly i.e. 255500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/518, 511/731 is 255500.

LCM(500/518, 511/731) = 255500

LCM of 500/518, 511/731

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 500/518,511/731

Given numbers are 500/518,511/731

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 500,511

Least Common Multiple of Numerators i.e. LCM of 500,511 is 255500.

GCF of Denominators means GCF of 518,731 as per the given fractions.

GCF of 518,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,511

LCM of Fractions 500/518,511/731 is 255500

Given numbers has no common factors except 1. So, there LCM is their product i.e 255500

Least Common Multiple of 500,511 with GCF Formula

Least Common Multiple of 500,511 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 500,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,511) = 1

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

GCF(500,511) x common factors =1 x 1 = 1

LCM(500,511) = ( 500 × 511 ) / 1

LCM(500,511) = 255500 / 1

LCM(500,511) = 255500


Lets's calculate GCF of 518,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255500/1

Therefore the LCM of Fractions 500/518,511/731 is 255500

Greatest Common Factor of 518,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,731 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 518,731 . The biggest common factor number is the GCF number.
So the greatest common factor 518,731 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 500/518, 511/731

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 500/518, 511/731?

Answer: LCM of Numerators as per given numbers 500/518, 511/731 is

LCM of Numerators i.e. for 500,511 is 255500

GCF of denominators i.e. for 518,731 is 1.

Thus, LCM of Fractions is 255500.Finally, LCM of Fractions for 500/518, 511/731 is 255500.