Least Common Multiple of 11/81, 75/66, 34/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/81, 75/66, 34/867 quickly i.e. 9350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/81, 75/66, 34/867 is 9350.

LCM(11/81, 75/66, 34/867) = 9350

LCM of 11/81, 75/66, 34/867

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 11/81,75/66,34/867

Given numbers are 11/81,75/66,34/867

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 11,75,34

Least Common Multiple of Numerators i.e. LCM of 11,75,34 is 28050.

GCF of Denominators means GCF of 81,66,867 as per the given fractions.

GCF of 81,66,867 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,75,34

LCM of Fractions 11/81,75/66,34/867 is 9350

Given numbers has no common factors except 1. So, there LCM is their product i.e 28050

Least Common Multiple of 11,75,34 with GCF Formula

Least Common Multiple of 11,75,34 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 11,75,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,75,34) = 1

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

GCF(11,75,34) x common factors =1 x 1 = 1

LCM(11,75,34) = ( 11 × 75 × 34 ) / 1

LCM(11,75,34) = 28050 / 1

LCM(11,75,34) = 28050


Lets's calculate GCF of 81,66,867

3 81, 66, 867
27, 22, 289

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28050/3

Therefore the LCM of Fractions 11/81,75/66,34/867 is 9350

Greatest Common Factor of 81,66,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,66,867 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 81,66,867 . The biggest common factor number is the GCF number.
So the greatest common factor 81,66,867 is 3.


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 11/81, 75/66, 34/867

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 11/81, 75/66, 34/867?

Answer: LCM of Numerators as per given numbers 11/81, 75/66, 34/867 is

LCM of Numerators i.e. for 11,75,34 is 28050

GCF of denominators i.e. for 81,66,867 is 3.

Thus, LCM of Fractions is 9350.Finally, LCM of Fractions for 11/81, 75/66, 34/867 is 9350.