Least Common Multiple of 171/81, 427/5851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 171/81, 427/5851 quickly i.e. 73017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/81, 427/5851 is 73017.

LCM(171/81, 427/5851) = 73017

LCM of 171/81, 427/5851

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 171/81,427/5851

Given numbers are 171/81,427/5851

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 171,427

Least Common Multiple of Numerators i.e. LCM of 171,427 is 73017.

GCF of Denominators means GCF of 81,5851 as per the given fractions.

GCF of 81,5851 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,427

LCM of Fractions 171/81,427/5851 is 73017

Given numbers has no common factors except 1. So, there LCM is their product i.e 73017

Least Common Multiple of 171,427 with GCF Formula

Least Common Multiple of 171,427 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 171,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,427) = 1

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

GCF(171,427) x common factors =1 x 1 = 1

LCM(171,427) = ( 171 × 427 ) / 1

LCM(171,427) = 73017 / 1

LCM(171,427) = 73017


Lets's calculate GCF of 81,5851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73017/1

Therefore the LCM of Fractions 171/81,427/5851 is 73017

Greatest Common Factor of 81,5851 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,5851 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 5851

List of positive integer factors of 5851 that divides 5851 without a remainder.

1,5851

Greatest Common Factor

We found the factors 81,5851 . The biggest common factor number is the GCF number.
So the greatest common factor 81,5851 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 171/81, 427/5851

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 171/81, 427/5851?

Answer: LCM of Numerators as per given numbers 171/81, 427/5851 is

LCM of Numerators i.e. for 171,427 is 73017

GCF of denominators i.e. for 81,5851 is 1.

Thus, LCM of Fractions is 73017.Finally, LCM of Fractions for 171/81, 427/5851 is 73017.