Least Common Multiple of 23/85, 27/72, 906/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/85, 27/72, 906/389 quickly i.e. 187542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/85, 27/72, 906/389 is 187542.

LCM(23/85, 27/72, 906/389) = 187542

LCM of 23/85, 27/72, 906/389

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 23/85,27/72,906/389

Given numbers are 23/85,27/72,906/389

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 23,27,906

Least Common Multiple of Numerators i.e. LCM of 23,27,906 is 187542.

GCF of Denominators means GCF of 85,72,389 as per the given fractions.

GCF of 85,72,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,27,906

LCM of Fractions 23/85,27/72,906/389 is 187542

3 23, 27, 906
23, 9, 302

∴ So the LCM of the given numbers is 3 x 23 x 9 x 302 = 187542

Least Common Multiple of 23,27,906 with GCF Formula

Least Common Multiple of 23,27,906 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 23,27,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,27,906) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(23,27,906) x common factors =1 x 3 = 3

LCM(23,27,906) = ( 23 × 27 × 906 ) / 3

LCM(23,27,906) = 562626 / 3

LCM(23,27,906) = 187542


Lets's calculate GCF of 85,72,389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187542/1

Therefore the LCM of Fractions 23/85,27/72,906/389 is 187542

Greatest Common Factor of 85,72,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,72,389 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 85,72,389 . The biggest common factor number is the GCF number.
So the greatest common factor 85,72,389 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 23/85, 27/72, 906/389

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 23/85, 27/72, 906/389?

Answer: LCM of Numerators as per given numbers 23/85, 27/72, 906/389 is

LCM of Numerators i.e. for 23,27,906 is 187542

GCF of denominators i.e. for 85,72,389 is 1.

Thus, LCM of Fractions is 187542.Finally, LCM of Fractions for 23/85, 27/72, 906/389 is 187542.