Least Common Multiple of 81/59, 24/50, 18/31, 39/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/59, 24/50, 18/31, 39/227 quickly i.e. 8424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/59, 24/50, 18/31, 39/227 is 8424.

LCM(81/59, 24/50, 18/31, 39/227) = 8424

LCM of 81/59, 24/50, 18/31, 39/227

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 81/59,24/50,18/31,39/227

Given numbers are 81/59,24/50,18/31,39/227

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 81,24,18,39

Least Common Multiple of Numerators i.e. LCM of 81,24,18,39 is 8424.

GCF of Denominators means GCF of 59,50,31,227 as per the given fractions.

GCF of 59,50,31,227 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,24,18,39

LCM of Fractions 81/59,24/50,18/31,39/227 is 8424

2 81, 24, 18, 39
3 81, 12, 9, 39
3 27, 4, 3, 13
9, 4, 1, 13

∴ So the LCM of the given numbers is 2 x 3 x 3 x 9 x 4 x 1 x 13 = 8424

Least Common Multiple of 81,24,18,39 with GCF Formula

Least Common Multiple of 81,24,18,39 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 81,24,18,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,24,18,39) = 3

common factors(in case of two or more numbers have common factors) = 54

GCF(81,24,18,39) x common factors =3 x 54 = 162

LCM(81,24,18,39) = ( 81 × 24 × 18 × 39 ) / 162

LCM(81,24,18,39) = 1364688 / 162

LCM(81,24,18,39) = 8424


Lets's calculate GCF of 59,50,31,227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8424/1

Therefore the LCM of Fractions 81/59,24/50,18/31,39/227 is 8424

Greatest Common Factor of 59,50,31,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,50,31,227 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 59,50,31,227 . The biggest common factor number is the GCF number.
So the greatest common factor 59,50,31,227 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 81/59, 24/50, 18/31, 39/227

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 81/59, 24/50, 18/31, 39/227?

Answer: LCM of Numerators as per given numbers 81/59, 24/50, 18/31, 39/227 is

LCM of Numerators i.e. for 81,24,18,39 is 8424

GCF of denominators i.e. for 59,50,31,227 is 1.

Thus, LCM of Fractions is 8424.Finally, LCM of Fractions for 81/59, 24/50, 18/31, 39/227 is 8424.