Least Common Multiple of 493/863, 553/539, 329/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/863, 553/539, 329/380 quickly i.e. 12813563 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/863, 553/539, 329/380 is 12813563.

LCM(493/863, 553/539, 329/380) = 12813563

LCM of 493/863, 553/539, 329/380

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 493/863,553/539,329/380

Given numbers are 493/863,553/539,329/380

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 493,553,329

Least Common Multiple of Numerators i.e. LCM of 493,553,329 is 12813563.

GCF of Denominators means GCF of 863,539,380 as per the given fractions.

GCF of 863,539,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,553,329

LCM of Fractions 493/863,553/539,329/380 is 12813563

7 493, 553, 329
493, 79, 47

∴ So the LCM of the given numbers is 7 x 493 x 79 x 47 = 12813563

Least Common Multiple of 493,553,329 with GCF Formula

Least Common Multiple of 493,553,329 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 493,553,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,553,329) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(493,553,329) x common factors =1 x 7 = 7

LCM(493,553,329) = ( 493 × 553 × 329 ) / 7

LCM(493,553,329) = 89694941 / 7

LCM(493,553,329) = 12813563


Lets's calculate GCF of 863,539,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12813563/1

Therefore the LCM of Fractions 493/863,553/539,329/380 is 12813563

Greatest Common Factor of 863,539,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,539,380 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 863,539,380 . The biggest common factor number is the GCF number.
So the greatest common factor 863,539,380 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 493/863, 553/539, 329/380

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 493/863, 553/539, 329/380?

Answer: LCM of Numerators as per given numbers 493/863, 553/539, 329/380 is

LCM of Numerators i.e. for 493,553,329 is 12813563

GCF of denominators i.e. for 863,539,380 is 1.

Thus, LCM of Fractions is 12813563.Finally, LCM of Fractions for 493/863, 553/539, 329/380 is 12813563.