Least Common Multiple of 81/16, 83/31, 21/95, 91/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/16, 83/31, 21/95, 91/384 quickly i.e. 611793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/16, 83/31, 21/95, 91/384 is 611793.

LCM(81/16, 83/31, 21/95, 91/384) = 611793

LCM of 81/16, 83/31, 21/95, 91/384

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 81/16,83/31,21/95,91/384

Given numbers are 81/16,83/31,21/95,91/384

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 81,83,21,91

Least Common Multiple of Numerators i.e. LCM of 81,83,21,91 is 611793.

GCF of Denominators means GCF of 16,31,95,384 as per the given fractions.

GCF of 16,31,95,384 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,83,21,91

LCM of Fractions 81/16,83/31,21/95,91/384 is 611793

3 81, 83, 21, 91
7 27, 83, 7, 91
27, 83, 1, 13

∴ So the LCM of the given numbers is 3 x 7 x 27 x 83 x 1 x 13 = 611793

Least Common Multiple of 81,83,21,91 with GCF Formula

Least Common Multiple of 81,83,21,91 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 81,83,21,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,83,21,91) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(81,83,21,91) x common factors =1 x 21 = 21

LCM(81,83,21,91) = ( 81 × 83 × 21 × 91 ) / 21

LCM(81,83,21,91) = 12847653 / 21

LCM(81,83,21,91) = 611793


Lets's calculate GCF of 16,31,95,384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 611793/1

Therefore the LCM of Fractions 81/16,83/31,21/95,91/384 is 611793

Greatest Common Factor of 16,31,95,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,31,95,384 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 31

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

1,31

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 16,31,95,384 . The biggest common factor number is the GCF number.
So the greatest common factor 16,31,95,384 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 81/16, 83/31, 21/95, 91/384

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 81/16, 83/31, 21/95, 91/384?

Answer: LCM of Numerators as per given numbers 81/16, 83/31, 21/95, 91/384 is

LCM of Numerators i.e. for 81,83,21,91 is 611793

GCF of denominators i.e. for 16,31,95,384 is 1.

Thus, LCM of Fractions is 611793.Finally, LCM of Fractions for 81/16, 83/31, 21/95, 91/384 is 611793.