Least Common Multiple of 81/544, 15/151, 491/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/544, 15/151, 491/857 quickly i.e. 198855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/544, 15/151, 491/857 is 198855.

LCM(81/544, 15/151, 491/857) = 198855

LCM of 81/544, 15/151, 491/857

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 81/544,15/151,491/857

Given numbers are 81/544,15/151,491/857

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 81,15,491

Least Common Multiple of Numerators i.e. LCM of 81,15,491 is 198855.

GCF of Denominators means GCF of 544,151,857 as per the given fractions.

GCF of 544,151,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,15,491

LCM of Fractions 81/544,15/151,491/857 is 198855

3 81, 15, 491
27, 5, 491

∴ So the LCM of the given numbers is 3 x 27 x 5 x 491 = 198855

Least Common Multiple of 81,15,491 with GCF Formula

Least Common Multiple of 81,15,491 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 81,15,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,15,491) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,15,491) x common factors =1 x 3 = 3

LCM(81,15,491) = ( 81 × 15 × 491 ) / 3

LCM(81,15,491) = 596565 / 3

LCM(81,15,491) = 198855


Lets's calculate GCF of 544,151,857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198855/1

Therefore the LCM of Fractions 81/544,15/151,491/857 is 198855

Greatest Common Factor of 544,151,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,151,857 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 544,151,857 . The biggest common factor number is the GCF number.
So the greatest common factor 544,151,857 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 81/544, 15/151, 491/857

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 81/544, 15/151, 491/857?

Answer: LCM of Numerators as per given numbers 81/544, 15/151, 491/857 is

LCM of Numerators i.e. for 81,15,491 is 198855

GCF of denominators i.e. for 544,151,857 is 1.

Thus, LCM of Fractions is 198855.Finally, LCM of Fractions for 81/544, 15/151, 491/857 is 198855.