Least Common Multiple of 81/12, 14/76, 67/97, 724/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/12, 14/76, 67/97, 724/57 quickly i.e. 27504036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/12, 14/76, 67/97, 724/57 is 27504036.

LCM(81/12, 14/76, 67/97, 724/57) = 27504036

LCM of 81/12, 14/76, 67/97, 724/57

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 81/12,14/76,67/97,724/57

Given numbers are 81/12,14/76,67/97,724/57

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 81,14,67,724

Least Common Multiple of Numerators i.e. LCM of 81,14,67,724 is 27504036.

GCF of Denominators means GCF of 12,76,97,57 as per the given fractions.

GCF of 12,76,97,57 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,14,67,724

LCM of Fractions 81/12,14/76,67/97,724/57 is 27504036

2 81, 14, 67, 724
81, 7, 67, 362

∴ So the LCM of the given numbers is 2 x 81 x 7 x 67 x 362 = 27504036

Least Common Multiple of 81,14,67,724 with GCF Formula

Least Common Multiple of 81,14,67,724 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 81,14,67,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,14,67,724) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(81,14,67,724) x common factors =1 x 2 = 2

LCM(81,14,67,724) = ( 81 × 14 × 67 × 724 ) / 2

LCM(81,14,67,724) = 55008072 / 2

LCM(81,14,67,724) = 27504036


Lets's calculate GCF of 12,76,97,57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27504036/1

Therefore the LCM of Fractions 81/12,14/76,67/97,724/57 is 27504036

Greatest Common Factor of 12,76,97,57 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,76,97,57 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Greatest Common Factor

We found the factors 12,76,97,57 . The biggest common factor number is the GCF number.
So the greatest common factor 12,76,97,57 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 81/12, 14/76, 67/97, 724/57

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 81/12, 14/76, 67/97, 724/57?

Answer: LCM of Numerators as per given numbers 81/12, 14/76, 67/97, 724/57 is

LCM of Numerators i.e. for 81,14,67,724 is 27504036

GCF of denominators i.e. for 12,76,97,57 is 1.

Thus, LCM of Fractions is 27504036.Finally, LCM of Fractions for 81/12, 14/76, 67/97, 724/57 is 27504036.