Least Common Multiple of 71/12, 19/97, 81/65, 35/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/12, 19/97, 81/65, 35/289 quickly i.e. 3824415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/12, 19/97, 81/65, 35/289 is 3824415.

LCM(71/12, 19/97, 81/65, 35/289) = 3824415

LCM of 71/12, 19/97, 81/65, 35/289

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 71/12,19/97,81/65,35/289

Given numbers are 71/12,19/97,81/65,35/289

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 71,19,81,35

Least Common Multiple of Numerators i.e. LCM of 71,19,81,35 is 3824415.

GCF of Denominators means GCF of 12,97,65,289 as per the given fractions.

GCF of 12,97,65,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,19,81,35

LCM of Fractions 71/12,19/97,81/65,35/289 is 3824415

Given numbers has no common factors except 1. So, there LCM is their product i.e 3824415

Least Common Multiple of 71,19,81,35 with GCF Formula

Least Common Multiple of 71,19,81,35 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 71,19,81,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,19,81,35) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(71,19,81,35) x common factors =1 x 1 = 1

LCM(71,19,81,35) = ( 71 × 19 × 81 × 35 ) / 1

LCM(71,19,81,35) = 3824415 / 1

LCM(71,19,81,35) = 3824415


Lets's calculate GCF of 12,97,65,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3824415/1

Therefore the LCM of Fractions 71/12,19/97,81/65,35/289 is 3824415

Greatest Common Factor of 12,97,65,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,97,65,289 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 97

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

1,97

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 12,97,65,289 . The biggest common factor number is the GCF number.
So the greatest common factor 12,97,65,289 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 71/12, 19/97, 81/65, 35/289

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 71/12, 19/97, 81/65, 35/289?

Answer: LCM of Numerators as per given numbers 71/12, 19/97, 81/65, 35/289 is

LCM of Numerators i.e. for 71,19,81,35 is 3824415

GCF of denominators i.e. for 12,97,65,289 is 1.

Thus, LCM of Fractions is 3824415.Finally, LCM of Fractions for 71/12, 19/97, 81/65, 35/289 is 3824415.