Least Common Multiple of 462/39, 872/8191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/39, 872/8191 quickly i.e. 201432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/39, 872/8191 is 201432.

LCM(462/39, 872/8191) = 201432

LCM of 462/39, 872/8191

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 462/39,872/8191

Given numbers are 462/39,872/8191

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 462,872

Least Common Multiple of Numerators i.e. LCM of 462,872 is 201432.

GCF of Denominators means GCF of 39,8191 as per the given fractions.

GCF of 39,8191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,872

LCM of Fractions 462/39,872/8191 is 201432

2 462, 872
231, 436

∴ So the LCM of the given numbers is 2 x 231 x 436 = 201432

Least Common Multiple of 462,872 with GCF Formula

Least Common Multiple of 462,872 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 462,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,872) = 2

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

GCF(462,872) x common factors =2 x 1 = 2

LCM(462,872) = ( 462 × 872 ) / 2

LCM(462,872) = 402864 / 2

LCM(462,872) = 201432


Lets's calculate GCF of 39,8191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201432/1

Therefore the LCM of Fractions 462/39,872/8191 is 201432

Greatest Common Factor of 39,8191 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,8191 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 8191

List of positive integer factors of 8191 that divides 8191 without a remainder.

1,8191

Greatest Common Factor

We found the factors 39,8191 . The biggest common factor number is the GCF number.
So the greatest common factor 39,8191 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 462/39, 872/8191

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 462/39, 872/8191?

Answer: LCM of Numerators as per given numbers 462/39, 872/8191 is

LCM of Numerators i.e. for 462,872 is 201432

GCF of denominators i.e. for 39,8191 is 1.

Thus, LCM of Fractions is 201432.Finally, LCM of Fractions for 462/39, 872/8191 is 201432.