Least Common Multiple of 284/523, 775/593, 165/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/523, 775/593, 165/506 quickly i.e. 7263300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/523, 775/593, 165/506 is 7263300.

LCM(284/523, 775/593, 165/506) = 7263300

LCM of 284/523, 775/593, 165/506

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 284/523,775/593,165/506

Given numbers are 284/523,775/593,165/506

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 284,775,165

Least Common Multiple of Numerators i.e. LCM of 284,775,165 is 7263300.

GCF of Denominators means GCF of 523,593,506 as per the given fractions.

GCF of 523,593,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,775,165

LCM of Fractions 284/523,775/593,165/506 is 7263300

5 284, 775, 165
284, 155, 33

∴ So the LCM of the given numbers is 5 x 284 x 155 x 33 = 7263300

Least Common Multiple of 284,775,165 with GCF Formula

Least Common Multiple of 284,775,165 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 284,775,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,775,165) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(284,775,165) x common factors =1 x 5 = 5

LCM(284,775,165) = ( 284 × 775 × 165 ) / 5

LCM(284,775,165) = 36316500 / 5

LCM(284,775,165) = 7263300


Lets's calculate GCF of 523,593,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7263300/1

Therefore the LCM of Fractions 284/523,775/593,165/506 is 7263300

Greatest Common Factor of 523,593,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,593,506 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 523,593,506 . The biggest common factor number is the GCF number.
So the greatest common factor 523,593,506 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 284/523, 775/593, 165/506

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 284/523, 775/593, 165/506?

Answer: LCM of Numerators as per given numbers 284/523, 775/593, 165/506 is

LCM of Numerators i.e. for 284,775,165 is 7263300

GCF of denominators i.e. for 523,593,506 is 1.

Thus, LCM of Fractions is 7263300.Finally, LCM of Fractions for 284/523, 775/593, 165/506 is 7263300.