Least Common Multiple of 81/14, 41/67, 27/18, 48/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/14, 41/67, 27/18, 48/671 quickly i.e. 53136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/14, 41/67, 27/18, 48/671 is 53136.

LCM(81/14, 41/67, 27/18, 48/671) = 53136

LCM of 81/14, 41/67, 27/18, 48/671

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 81/14,41/67,27/18,48/671

Given numbers are 81/14,41/67,27/18,48/671

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 81,41,27,48

Least Common Multiple of Numerators i.e. LCM of 81,41,27,48 is 53136.

GCF of Denominators means GCF of 14,67,18,671 as per the given fractions.

GCF of 14,67,18,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,41,27,48

LCM of Fractions 81/14,41/67,27/18,48/671 is 53136

3 81, 41, 27, 48
3 27, 41, 9, 16
3 3, 41, 9, 16
1, 41, 3, 16

∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 41 x 3 x 16 = 53136

Least Common Multiple of 81,41,27,48 with GCF Formula

Least Common Multiple of 81,41,27,48 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 81,41,27,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,41,27,48) = 1

common factors(in case of two or more numbers have common factors) = 81

GCF(81,41,27,48) x common factors =1 x 81 = 81

LCM(81,41,27,48) = ( 81 × 41 × 27 × 48 ) / 81

LCM(81,41,27,48) = 4304016 / 81

LCM(81,41,27,48) = 53136


Lets's calculate GCF of 14,67,18,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53136/1

Therefore the LCM of Fractions 81/14,41/67,27/18,48/671 is 53136

Greatest Common Factor of 14,67,18,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,67,18,671 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 14,67,18,671 . The biggest common factor number is the GCF number.
So the greatest common factor 14,67,18,671 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 81/14, 41/67, 27/18, 48/671

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 81/14, 41/67, 27/18, 48/671?

Answer: LCM of Numerators as per given numbers 81/14, 41/67, 27/18, 48/671 is

LCM of Numerators i.e. for 81,41,27,48 is 53136

GCF of denominators i.e. for 14,67,18,671 is 1.

Thus, LCM of Fractions is 53136.Finally, LCM of Fractions for 81/14, 41/67, 27/18, 48/671 is 53136.