Least Common Multiple of 31/226, 54/205, 729/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/226, 54/205, 729/457 quickly i.e. 45198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/226, 54/205, 729/457 is 45198.

LCM(31/226, 54/205, 729/457) = 45198

LCM of 31/226, 54/205, 729/457

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 31/226,54/205,729/457

Given numbers are 31/226,54/205,729/457

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 31,54,729

Least Common Multiple of Numerators i.e. LCM of 31,54,729 is 45198.

GCF of Denominators means GCF of 226,205,457 as per the given fractions.

GCF of 226,205,457 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,54,729

LCM of Fractions 31/226,54/205,729/457 is 45198

3 31, 54, 729
3 31, 18, 243
3 31, 6, 81
31, 2, 27

∴ So the LCM of the given numbers is 3 x 3 x 3 x 31 x 2 x 27 = 45198

Least Common Multiple of 31,54,729 with GCF Formula

Least Common Multiple of 31,54,729 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 31,54,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,54,729) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(31,54,729) x common factors =1 x 27 = 27

LCM(31,54,729) = ( 31 × 54 × 729 ) / 27

LCM(31,54,729) = 1220346 / 27

LCM(31,54,729) = 45198


Lets's calculate GCF of 226,205,457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45198/1

Therefore the LCM of Fractions 31/226,54/205,729/457 is 45198

Greatest Common Factor of 226,205,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,205,457 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Greatest Common Factor

We found the factors 226,205,457 . The biggest common factor number is the GCF number.
So the greatest common factor 226,205,457 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 31/226, 54/205, 729/457

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 31/226, 54/205, 729/457?

Answer: LCM of Numerators as per given numbers 31/226, 54/205, 729/457 is

LCM of Numerators i.e. for 31,54,729 is 45198

GCF of denominators i.e. for 226,205,457 is 1.

Thus, LCM of Fractions is 45198.Finally, LCM of Fractions for 31/226, 54/205, 729/457 is 45198.