Least Common Multiple of 32/539, 724/52, 315/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/539, 724/52, 315/810 quickly i.e. 1824480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/539, 724/52, 315/810 is 1824480.

LCM(32/539, 724/52, 315/810) = 1824480

LCM of 32/539, 724/52, 315/810

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 32/539,724/52,315/810

Given numbers are 32/539,724/52,315/810

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 32,724,315

Least Common Multiple of Numerators i.e. LCM of 32,724,315 is 1824480.

GCF of Denominators means GCF of 539,52,810 as per the given fractions.

GCF of 539,52,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,724,315

LCM of Fractions 32/539,724/52,315/810 is 1824480

2 32, 724, 315
2 16, 362, 315
8, 181, 315

∴ So the LCM of the given numbers is 2 x 2 x 8 x 181 x 315 = 1824480

Least Common Multiple of 32,724,315 with GCF Formula

Least Common Multiple of 32,724,315 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 32,724,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,724,315) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(32,724,315) x common factors =1 x 4 = 4

LCM(32,724,315) = ( 32 × 724 × 315 ) / 4

LCM(32,724,315) = 7297920 / 4

LCM(32,724,315) = 1824480


Lets's calculate GCF of 539,52,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1824480/1

Therefore the LCM of Fractions 32/539,724/52,315/810 is 1824480

Greatest Common Factor of 539,52,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,52,810 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 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 539,52,810 . The biggest common factor number is the GCF number.
So the greatest common factor 539,52,810 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 32/539, 724/52, 315/810

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 32/539, 724/52, 315/810?

Answer: LCM of Numerators as per given numbers 32/539, 724/52, 315/810 is

LCM of Numerators i.e. for 32,724,315 is 1824480

GCF of denominators i.e. for 539,52,810 is 1.

Thus, LCM of Fractions is 1824480.Finally, LCM of Fractions for 32/539, 724/52, 315/810 is 1824480.