Least Common Multiple of 123/463, 228/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/463, 228/831 quickly i.e. 9348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/463, 228/831 is 9348.

LCM(123/463, 228/831) = 9348

LCM of 123/463, 228/831

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 123/463,228/831

Given numbers are 123/463,228/831

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 123,228

Least Common Multiple of Numerators i.e. LCM of 123,228 is 9348.

GCF of Denominators means GCF of 463,831 as per the given fractions.

GCF of 463,831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,228

LCM of Fractions 123/463,228/831 is 9348

3 123, 228
41, 76

∴ So the LCM of the given numbers is 3 x 41 x 76 = 9348

Least Common Multiple of 123,228 with GCF Formula

Least Common Multiple of 123,228 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 123,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,228) = 3

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

GCF(123,228) x common factors =3 x 1 = 3

LCM(123,228) = ( 123 × 228 ) / 3

LCM(123,228) = 28044 / 3

LCM(123,228) = 9348


Lets's calculate GCF of 463,831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9348/1

Therefore the LCM of Fractions 123/463,228/831 is 9348

Greatest Common Factor of 463,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,831 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 463,831 . The biggest common factor number is the GCF number.
So the greatest common factor 463,831 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 123/463, 228/831

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 123/463, 228/831?

Answer: LCM of Numerators as per given numbers 123/463, 228/831 is

LCM of Numerators i.e. for 123,228 is 9348

GCF of denominators i.e. for 463,831 is 1.

Thus, LCM of Fractions is 9348.Finally, LCM of Fractions for 123/463, 228/831 is 9348.