Least Common Multiple of 463/44, 499/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 463/44, 499/859 quickly i.e. 231037 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 463/44, 499/859 is 231037.

LCM(463/44, 499/859) = 231037

LCM of 463/44, 499/859

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 463/44,499/859

Given numbers are 463/44,499/859

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 463,499

Least Common Multiple of Numerators i.e. LCM of 463,499 is 231037.

GCF of Denominators means GCF of 44,859 as per the given fractions.

GCF of 44,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 463,499

LCM of Fractions 463/44,499/859 is 231037

Given numbers has no common factors except 1. So, there LCM is their product i.e 231037

Least Common Multiple of 463,499 with GCF Formula

Least Common Multiple of 463,499 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 463,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,499) = 1

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

GCF(463,499) x common factors =1 x 1 = 1

LCM(463,499) = ( 463 × 499 ) / 1

LCM(463,499) = 231037 / 1

LCM(463,499) = 231037


Lets's calculate GCF of 44,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231037/1

Therefore the LCM of Fractions 463/44,499/859 is 231037

Greatest Common Factor of 44,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,859 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 44,859 . The biggest common factor number is the GCF number.
So the greatest common factor 44,859 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 463/44, 499/859

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 463/44, 499/859?

Answer: LCM of Numerators as per given numbers 463/44, 499/859 is

LCM of Numerators i.e. for 463,499 is 231037

GCF of denominators i.e. for 44,859 is 1.

Thus, LCM of Fractions is 231037.Finally, LCM of Fractions for 463/44, 499/859 is 231037.