Least Common Multiple of 31/128, 233/456, 438/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/128, 233/456, 438/810 quickly i.e. 1581837 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/128, 233/456, 438/810 is 1581837.

LCM(31/128, 233/456, 438/810) = 1581837

LCM of 31/128, 233/456, 438/810

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 31/128,233/456,438/810

Given numbers are 31/128,233/456,438/810

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 31,233,438

Least Common Multiple of Numerators i.e. LCM of 31,233,438 is 3163674.

GCF of Denominators means GCF of 128,456,810 as per the given fractions.

GCF of 128,456,810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,233,438

LCM of Fractions 31/128,233/456,438/810 is 1581837

Given numbers has no common factors except 1. So, there LCM is their product i.e 3163674

Least Common Multiple of 31,233,438 with GCF Formula

Least Common Multiple of 31,233,438 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 31,233,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,233,438) = 1

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

GCF(31,233,438) x common factors =1 x 1 = 1

LCM(31,233,438) = ( 31 × 233 × 438 ) / 1

LCM(31,233,438) = 3163674 / 1

LCM(31,233,438) = 3163674


Lets's calculate GCF of 128,456,810

2 128, 456, 810
64, 228, 405

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3163674/2

Therefore the LCM of Fractions 31/128,233/456,438/810 is 1581837

Greatest Common Factor of 128,456,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,456,810 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 128,456,810 . The biggest common factor number is the GCF number.
So the greatest common factor 128,456,810 is 2.


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 31/128, 233/456, 438/810

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 31/128, 233/456, 438/810?

Answer: LCM of Numerators as per given numbers 31/128, 233/456, 438/810 is

LCM of Numerators i.e. for 31,233,438 is 3163674

GCF of denominators i.e. for 128,456,810 is 2.

Thus, LCM of Fractions is 1581837.Finally, LCM of Fractions for 31/128, 233/456, 438/810 is 1581837.