Least Common Multiple of 35/500, 12/733, 686/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/500, 12/733, 686/293 quickly i.e. 20580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/500, 12/733, 686/293 is 20580.

LCM(35/500, 12/733, 686/293) = 20580

LCM of 35/500, 12/733, 686/293

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 35/500,12/733,686/293

Given numbers are 35/500,12/733,686/293

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 35,12,686

Least Common Multiple of Numerators i.e. LCM of 35,12,686 is 20580.

GCF of Denominators means GCF of 500,733,293 as per the given fractions.

GCF of 500,733,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,12,686

LCM of Fractions 35/500,12/733,686/293 is 20580

2 35, 12, 686
7 35, 6, 343
5, 6, 49

∴ So the LCM of the given numbers is 2 x 7 x 5 x 6 x 49 = 20580

Least Common Multiple of 35,12,686 with GCF Formula

Least Common Multiple of 35,12,686 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 35,12,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,12,686) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(35,12,686) x common factors =1 x 14 = 14

LCM(35,12,686) = ( 35 × 12 × 686 ) / 14

LCM(35,12,686) = 288120 / 14

LCM(35,12,686) = 20580


Lets's calculate GCF of 500,733,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20580/1

Therefore the LCM of Fractions 35/500,12/733,686/293 is 20580

Greatest Common Factor of 500,733,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,733,293 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 500,733,293 . The biggest common factor number is the GCF number.
So the greatest common factor 500,733,293 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 35/500, 12/733, 686/293

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 35/500, 12/733, 686/293?

Answer: LCM of Numerators as per given numbers 35/500, 12/733, 686/293 is

LCM of Numerators i.e. for 35,12,686 is 20580

GCF of denominators i.e. for 500,733,293 is 1.

Thus, LCM of Fractions is 20580.Finally, LCM of Fractions for 35/500, 12/733, 686/293 is 20580.