Least Common Multiple of 423/720, 648/731, 569/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 423/720, 648/731, 569/832 quickly i.e. 17329464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 423/720, 648/731, 569/832 is 17329464.

LCM(423/720, 648/731, 569/832) = 17329464

LCM of 423/720, 648/731, 569/832

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 423/720,648/731,569/832

Given numbers are 423/720,648/731,569/832

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 423,648,569

Least Common Multiple of Numerators i.e. LCM of 423,648,569 is 17329464.

GCF of Denominators means GCF of 720,731,832 as per the given fractions.

GCF of 720,731,832 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 423,648,569

LCM of Fractions 423/720,648/731,569/832 is 17329464

3 423, 648, 569
3 141, 216, 569
47, 72, 569

∴ So the LCM of the given numbers is 3 x 3 x 47 x 72 x 569 = 17329464

Least Common Multiple of 423,648,569 with GCF Formula

Least Common Multiple of 423,648,569 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 423,648,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,648,569) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(423,648,569) x common factors =1 x 9 = 9

LCM(423,648,569) = ( 423 × 648 × 569 ) / 9

LCM(423,648,569) = 155965176 / 9

LCM(423,648,569) = 17329464


Lets's calculate GCF of 720,731,832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17329464/1

Therefore the LCM of Fractions 423/720,648/731,569/832 is 17329464

Greatest Common Factor of 720,731,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,731,832 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 731

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

1,17,43,731

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 720,731,832 . The biggest common factor number is the GCF number.
So the greatest common factor 720,731,832 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 423/720, 648/731, 569/832

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 423/720, 648/731, 569/832?

Answer: LCM of Numerators as per given numbers 423/720, 648/731, 569/832 is

LCM of Numerators i.e. for 423,648,569 is 17329464

GCF of denominators i.e. for 720,731,832 is 1.

Thus, LCM of Fractions is 17329464.Finally, LCM of Fractions for 423/720, 648/731, 569/832 is 17329464.