Least Common Multiple of 481/54, 171/9681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 481/54, 171/9681 quickly i.e. 27417 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 481/54, 171/9681 is 27417.

LCM(481/54, 171/9681) = 27417

LCM of 481/54, 171/9681

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 481/54,171/9681

Given numbers are 481/54,171/9681

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 481,171

Least Common Multiple of Numerators i.e. LCM of 481,171 is 82251.

GCF of Denominators means GCF of 54,9681 as per the given fractions.

GCF of 54,9681 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 481,171

LCM of Fractions 481/54,171/9681 is 27417

Given numbers has no common factors except 1. So, there LCM is their product i.e 82251

Least Common Multiple of 481,171 with GCF Formula

Least Common Multiple of 481,171 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 481,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,171) = 1

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

GCF(481,171) x common factors =1 x 1 = 1

LCM(481,171) = ( 481 × 171 ) / 1

LCM(481,171) = 82251 / 1

LCM(481,171) = 82251


Lets's calculate GCF of 54,9681

3 54, 9681
18, 3227

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82251/3

Therefore the LCM of Fractions 481/54,171/9681 is 27417

Greatest Common Factor of 54,9681 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,9681 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 9681

List of positive integer factors of 9681 that divides 9681 without a remainder.

1,3,7,21,461,1383,3227,9681

Greatest Common Factor

We found the factors 54,9681 . The biggest common factor number is the GCF number.
So the greatest common factor 54,9681 is 3.


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 481/54, 171/9681

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 481/54, 171/9681?

Answer: LCM of Numerators as per given numbers 481/54, 171/9681 is

LCM of Numerators i.e. for 481,171 is 82251

GCF of denominators i.e. for 54,9681 is 3.

Thus, LCM of Fractions is 27417.Finally, LCM of Fractions for 481/54, 171/9681 is 27417.