Least Common Multiple of 81/75, 93/39, 75/68, 13/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/75, 93/39, 75/68, 13/335 quickly i.e. 816075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/75, 93/39, 75/68, 13/335 is 816075.

LCM(81/75, 93/39, 75/68, 13/335) = 816075

LCM of 81/75, 93/39, 75/68, 13/335

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 81/75,93/39,75/68,13/335

Given numbers are 81/75,93/39,75/68,13/335

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 81,93,75,13

Least Common Multiple of Numerators i.e. LCM of 81,93,75,13 is 816075.

GCF of Denominators means GCF of 75,39,68,335 as per the given fractions.

GCF of 75,39,68,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,93,75,13

LCM of Fractions 81/75,93/39,75/68,13/335 is 816075

3 81, 93, 75, 13
27, 31, 25, 13

∴ So the LCM of the given numbers is 3 x 27 x 31 x 25 x 13 = 816075

Least Common Multiple of 81,93,75,13 with GCF Formula

Least Common Multiple of 81,93,75,13 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 81,93,75,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,93,75,13) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(81,93,75,13) x common factors =1 x 9 = 9

LCM(81,93,75,13) = ( 81 × 93 × 75 × 13 ) / 9

LCM(81,93,75,13) = 7344675 / 9

LCM(81,93,75,13) = 816075


Lets's calculate GCF of 75,39,68,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 816075/1

Therefore the LCM of Fractions 81/75,93/39,75/68,13/335 is 816075

Greatest Common Factor of 75,39,68,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,39,68,335 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 75,39,68,335 . The biggest common factor number is the GCF number.
So the greatest common factor 75,39,68,335 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 81/75, 93/39, 75/68, 13/335

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 81/75, 93/39, 75/68, 13/335?

Answer: LCM of Numerators as per given numbers 81/75, 93/39, 75/68, 13/335 is

LCM of Numerators i.e. for 81,93,75,13 is 816075

GCF of denominators i.e. for 75,39,68,335 is 1.

Thus, LCM of Fractions is 816075.Finally, LCM of Fractions for 81/75, 93/39, 75/68, 13/335 is 816075.