Least Common Multiple of 13/724, 929/897, 512/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/724, 929/897, 512/416 quickly i.e. 6183424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/724, 929/897, 512/416 is 6183424.

LCM(13/724, 929/897, 512/416) = 6183424

LCM of 13/724, 929/897, 512/416

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 13/724,929/897,512/416

Given numbers are 13/724,929/897,512/416

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 13,929,512

Least Common Multiple of Numerators i.e. LCM of 13,929,512 is 6183424.

GCF of Denominators means GCF of 724,897,416 as per the given fractions.

GCF of 724,897,416 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,929,512

LCM of Fractions 13/724,929/897,512/416 is 6183424

Given numbers has no common factors except 1. So, there LCM is their product i.e 6183424

Least Common Multiple of 13,929,512 with GCF Formula

Least Common Multiple of 13,929,512 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 13,929,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,929,512) = 1

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

GCF(13,929,512) x common factors =1 x 1 = 1

LCM(13,929,512) = ( 13 × 929 × 512 ) / 1

LCM(13,929,512) = 6183424 / 1

LCM(13,929,512) = 6183424


Lets's calculate GCF of 724,897,416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6183424/1

Therefore the LCM of Fractions 13/724,929/897,512/416 is 6183424

Greatest Common Factor of 724,897,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,897,416 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

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

Greatest Common Factor

We found the factors 724,897,416 . The biggest common factor number is the GCF number.
So the greatest common factor 724,897,416 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 13/724, 929/897, 512/416

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 13/724, 929/897, 512/416?

Answer: LCM of Numerators as per given numbers 13/724, 929/897, 512/416 is

LCM of Numerators i.e. for 13,929,512 is 6183424

GCF of denominators i.e. for 724,897,416 is 1.

Thus, LCM of Fractions is 6183424.Finally, LCM of Fractions for 13/724, 929/897, 512/416 is 6183424.