Least Common Multiple of 8/724, 51/519, 47/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/724, 51/519, 47/721 quickly i.e. 19176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/724, 51/519, 47/721 is 19176.

LCM(8/724, 51/519, 47/721) = 19176

LCM of 8/724, 51/519, 47/721

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 8/724,51/519,47/721

Given numbers are 8/724,51/519,47/721

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 8,51,47

Least Common Multiple of Numerators i.e. LCM of 8,51,47 is 19176.

GCF of Denominators means GCF of 724,519,721 as per the given fractions.

GCF of 724,519,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,51,47

LCM of Fractions 8/724,51/519,47/721 is 19176

Given numbers has no common factors except 1. So, there LCM is their product i.e 19176

Least Common Multiple of 8,51,47 with GCF Formula

Least Common Multiple of 8,51,47 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 8,51,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,51,47) = 1

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

GCF(8,51,47) x common factors =1 x 1 = 1

LCM(8,51,47) = ( 8 × 51 × 47 ) / 1

LCM(8,51,47) = 19176 / 1

LCM(8,51,47) = 19176


Lets's calculate GCF of 724,519,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19176/1

Therefore the LCM of Fractions 8/724,51/519,47/721 is 19176

Greatest Common Factor of 724,519,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,519,721 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 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 724,519,721 . The biggest common factor number is the GCF number.
So the greatest common factor 724,519,721 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 8/724, 51/519, 47/721

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 8/724, 51/519, 47/721?

Answer: LCM of Numerators as per given numbers 8/724, 51/519, 47/721 is

LCM of Numerators i.e. for 8,51,47 is 19176

GCF of denominators i.e. for 724,519,721 is 1.

Thus, LCM of Fractions is 19176.Finally, LCM of Fractions for 8/724, 51/519, 47/721 is 19176.