Least Common Multiple of 381/27, 173/8196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/27, 173/8196 quickly i.e. 21971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/27, 173/8196 is 21971.

LCM(381/27, 173/8196) = 21971

LCM of 381/27, 173/8196

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 381/27,173/8196

Given numbers are 381/27,173/8196

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 381,173

Least Common Multiple of Numerators i.e. LCM of 381,173 is 65913.

GCF of Denominators means GCF of 27,8196 as per the given fractions.

GCF of 27,8196 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,173

LCM of Fractions 381/27,173/8196 is 21971

Given numbers has no common factors except 1. So, there LCM is their product i.e 65913

Least Common Multiple of 381,173 with GCF Formula

Least Common Multiple of 381,173 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 381,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,173) = 1

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

GCF(381,173) x common factors =1 x 1 = 1

LCM(381,173) = ( 381 × 173 ) / 1

LCM(381,173) = 65913 / 1

LCM(381,173) = 65913


Lets's calculate GCF of 27,8196

3 27, 8196
9, 2732

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65913/3

Therefore the LCM of Fractions 381/27,173/8196 is 21971

Greatest Common Factor of 27,8196 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,8196 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 8196

List of positive integer factors of 8196 that divides 8196 without a remainder.

1,2,3,4,6,12,683,1366,2049,2732,4098,8196

Greatest Common Factor

We found the factors 27,8196 . The biggest common factor number is the GCF number.
So the greatest common factor 27,8196 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 381/27, 173/8196

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 381/27, 173/8196?

Answer: LCM of Numerators as per given numbers 381/27, 173/8196 is

LCM of Numerators i.e. for 381,173 is 65913

GCF of denominators i.e. for 27,8196 is 3.

Thus, LCM of Fractions is 21971.Finally, LCM of Fractions for 381/27, 173/8196 is 21971.