Least Common Multiple of 390/539, 451/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/539, 451/724 quickly i.e. 175890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/539, 451/724 is 175890.

LCM(390/539, 451/724) = 175890

LCM of 390/539, 451/724

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 390/539,451/724

Given numbers are 390/539,451/724

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 390,451

Least Common Multiple of Numerators i.e. LCM of 390,451 is 175890.

GCF of Denominators means GCF of 539,724 as per the given fractions.

GCF of 539,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,451

LCM of Fractions 390/539,451/724 is 175890

Given numbers has no common factors except 1. So, there LCM is their product i.e 175890

Least Common Multiple of 390,451 with GCF Formula

Least Common Multiple of 390,451 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 390,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,451) = 1

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

GCF(390,451) x common factors =1 x 1 = 1

LCM(390,451) = ( 390 × 451 ) / 1

LCM(390,451) = 175890 / 1

LCM(390,451) = 175890


Lets's calculate GCF of 539,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175890/1

Therefore the LCM of Fractions 390/539,451/724 is 175890

Greatest Common Factor of 539,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,724 By Matching Biggest Common Factor Method

Factors of 539

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

1,7,11,49,77,539

Factors of 724

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

1,2,4,181,362,724

Greatest Common Factor

We found the factors 539,724 . The biggest common factor number is the GCF number.
So the greatest common factor 539,724 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 390/539, 451/724

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 390/539, 451/724?

Answer: LCM of Numerators as per given numbers 390/539, 451/724 is

LCM of Numerators i.e. for 390,451 is 175890

GCF of denominators i.e. for 539,724 is 1.

Thus, LCM of Fractions is 175890.Finally, LCM of Fractions for 390/539, 451/724 is 175890.