Least Common Multiple of 31/204, 23/401, 243/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/204, 23/401, 243/910 quickly i.e. 173259 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/204, 23/401, 243/910 is 173259.

LCM(31/204, 23/401, 243/910) = 173259

LCM of 31/204, 23/401, 243/910

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 31/204,23/401,243/910

Given numbers are 31/204,23/401,243/910

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 31,23,243

Least Common Multiple of Numerators i.e. LCM of 31,23,243 is 173259.

GCF of Denominators means GCF of 204,401,910 as per the given fractions.

GCF of 204,401,910 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,23,243

LCM of Fractions 31/204,23/401,243/910 is 173259

Given numbers has no common factors except 1. So, there LCM is their product i.e 173259

Least Common Multiple of 31,23,243 with GCF Formula

Least Common Multiple of 31,23,243 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 31,23,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,23,243) = 1

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

GCF(31,23,243) x common factors =1 x 1 = 1

LCM(31,23,243) = ( 31 × 23 × 243 ) / 1

LCM(31,23,243) = 173259 / 1

LCM(31,23,243) = 173259


Lets's calculate GCF of 204,401,910

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173259/1

Therefore the LCM of Fractions 31/204,23/401,243/910 is 173259

Greatest Common Factor of 204,401,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,401,910 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 204,401,910 . The biggest common factor number is the GCF number.
So the greatest common factor 204,401,910 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 31/204, 23/401, 243/910

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 31/204, 23/401, 243/910?

Answer: LCM of Numerators as per given numbers 31/204, 23/401, 243/910 is

LCM of Numerators i.e. for 31,23,243 is 173259

GCF of denominators i.e. for 204,401,910 is 1.

Thus, LCM of Fractions is 173259.Finally, LCM of Fractions for 31/204, 23/401, 243/910 is 173259.