Least Common Multiple of 81/54, 64/91, 39/32, 382/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/54, 64/91, 39/32, 382/30 quickly i.e. 12871872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/54, 64/91, 39/32, 382/30 is 12871872.

LCM(81/54, 64/91, 39/32, 382/30) = 12871872

LCM of 81/54, 64/91, 39/32, 382/30

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 81/54,64/91,39/32,382/30

Given numbers are 81/54,64/91,39/32,382/30

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 81,64,39,382

Least Common Multiple of Numerators i.e. LCM of 81,64,39,382 is 12871872.

GCF of Denominators means GCF of 54,91,32,30 as per the given fractions.

GCF of 54,91,32,30 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,64,39,382

LCM of Fractions 81/54,64/91,39/32,382/30 is 12871872

2 81, 64, 39, 382
3 81, 32, 39, 191
27, 32, 13, 191

∴ So the LCM of the given numbers is 2 x 3 x 27 x 32 x 13 x 191 = 12871872

Least Common Multiple of 81,64,39,382 with GCF Formula

Least Common Multiple of 81,64,39,382 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 81,64,39,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,64,39,382) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(81,64,39,382) x common factors =1 x 6 = 6

LCM(81,64,39,382) = ( 81 × 64 × 39 × 382 ) / 6

LCM(81,64,39,382) = 77231232 / 6

LCM(81,64,39,382) = 12871872


Lets's calculate GCF of 54,91,32,30

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12871872/1

Therefore the LCM of Fractions 81/54,64/91,39/32,382/30 is 12871872

Greatest Common Factor of 54,91,32,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,91,32,30 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 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 54,91,32,30 . The biggest common factor number is the GCF number.
So the greatest common factor 54,91,32,30 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 81/54, 64/91, 39/32, 382/30

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 81/54, 64/91, 39/32, 382/30?

Answer: LCM of Numerators as per given numbers 81/54, 64/91, 39/32, 382/30 is

LCM of Numerators i.e. for 81,64,39,382 is 12871872

GCF of denominators i.e. for 54,91,32,30 is 1.

Thus, LCM of Fractions is 12871872.Finally, LCM of Fractions for 81/54, 64/91, 39/32, 382/30 is 12871872.