Least Common Multiple of 999/36, 821/73, 349/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 999/36, 821/73, 349/387 quickly i.e. 286242471 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 999/36, 821/73, 349/387 is 286242471.

LCM(999/36, 821/73, 349/387) = 286242471

LCM of 999/36, 821/73, 349/387

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 999/36,821/73,349/387

Given numbers are 999/36,821/73,349/387

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 999,821,349

Least Common Multiple of Numerators i.e. LCM of 999,821,349 is 286242471.

GCF of Denominators means GCF of 36,73,387 as per the given fractions.

GCF of 36,73,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 999,821,349

LCM of Fractions 999/36,821/73,349/387 is 286242471

Given numbers has no common factors except 1. So, there LCM is their product i.e 286242471

Least Common Multiple of 999,821,349 with GCF Formula

Least Common Multiple of 999,821,349 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 999,821,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,821,349) = 1

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

GCF(999,821,349) x common factors =1 x 1 = 1

LCM(999,821,349) = ( 999 × 821 × 349 ) / 1

LCM(999,821,349) = 286242471 / 1

LCM(999,821,349) = 286242471


Lets's calculate GCF of 36,73,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286242471/1

Therefore the LCM of Fractions 999/36,821/73,349/387 is 286242471

Greatest Common Factor of 36,73,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,73,387 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 36,73,387 . The biggest common factor number is the GCF number.
So the greatest common factor 36,73,387 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 999/36, 821/73, 349/387

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 999/36, 821/73, 349/387?

Answer: LCM of Numerators as per given numbers 999/36, 821/73, 349/387 is

LCM of Numerators i.e. for 999,821,349 is 286242471

GCF of denominators i.e. for 36,73,387 is 1.

Thus, LCM of Fractions is 286242471.Finally, LCM of Fractions for 999/36, 821/73, 349/387 is 286242471.