Least Common Multiple of 829/13, 915/4499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 829/13, 915/4499 quickly i.e. 758535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/13, 915/4499 is 758535.

LCM(829/13, 915/4499) = 758535

LCM of 829/13, 915/4499

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 829/13,915/4499

Given numbers are 829/13,915/4499

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 829,915

Least Common Multiple of Numerators i.e. LCM of 829,915 is 758535.

GCF of Denominators means GCF of 13,4499 as per the given fractions.

GCF of 13,4499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,915

LCM of Fractions 829/13,915/4499 is 758535

Given numbers has no common factors except 1. So, there LCM is their product i.e 758535

Least Common Multiple of 829,915 with GCF Formula

Least Common Multiple of 829,915 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 829,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,915) = 1

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

GCF(829,915) x common factors =1 x 1 = 1

LCM(829,915) = ( 829 × 915 ) / 1

LCM(829,915) = 758535 / 1

LCM(829,915) = 758535


Lets's calculate GCF of 13,4499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 758535/1

Therefore the LCM of Fractions 829/13,915/4499 is 758535

Greatest Common Factor of 13,4499 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,4499 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 4499

List of positive integer factors of 4499 that divides 4499 without a remainder.

1,11,409,4499

Greatest Common Factor

We found the factors 13,4499 . The biggest common factor number is the GCF number.
So the greatest common factor 13,4499 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 829/13, 915/4499

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 829/13, 915/4499?

Answer: LCM of Numerators as per given numbers 829/13, 915/4499 is

LCM of Numerators i.e. for 829,915 is 758535

GCF of denominators i.e. for 13,4499 is 1.

Thus, LCM of Fractions is 758535.Finally, LCM of Fractions for 829/13, 915/4499 is 758535.