Least Common Multiple of 463/458, 249/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 463/458, 249/183 quickly i.e. 115287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 463/458, 249/183 is 115287.

LCM(463/458, 249/183) = 115287

LCM of 463/458, 249/183

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 463/458,249/183

Given numbers are 463/458,249/183

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 463,249

Least Common Multiple of Numerators i.e. LCM of 463,249 is 115287.

GCF of Denominators means GCF of 458,183 as per the given fractions.

GCF of 458,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 463,249

LCM of Fractions 463/458,249/183 is 115287

Given numbers has no common factors except 1. So, there LCM is their product i.e 115287

Least Common Multiple of 463,249 with GCF Formula

Least Common Multiple of 463,249 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 463,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,249) = 1

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

GCF(463,249) x common factors =1 x 1 = 1

LCM(463,249) = ( 463 × 249 ) / 1

LCM(463,249) = 115287 / 1

LCM(463,249) = 115287


Lets's calculate GCF of 458,183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115287/1

Therefore the LCM of Fractions 463/458,249/183 is 115287

Greatest Common Factor of 458,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,183 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 458,183 . The biggest common factor number is the GCF number.
So the greatest common factor 458,183 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 463/458, 249/183

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 463/458, 249/183?

Answer: LCM of Numerators as per given numbers 463/458, 249/183 is

LCM of Numerators i.e. for 463,249 is 115287

GCF of denominators i.e. for 458,183 is 1.

Thus, LCM of Fractions is 115287.Finally, LCM of Fractions for 463/458, 249/183 is 115287.