Least Common Multiple of 999/12, 573/8571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 999/12, 573/8571 quickly i.e. 63603 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 999/12, 573/8571 is 63603.

LCM(999/12, 573/8571) = 63603

LCM of 999/12, 573/8571

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 999/12,573/8571

Given numbers are 999/12,573/8571

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 999,573

Least Common Multiple of Numerators i.e. LCM of 999,573 is 190809.

GCF of Denominators means GCF of 12,8571 as per the given fractions.

GCF of 12,8571 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 999,573

LCM of Fractions 999/12,573/8571 is 63603

3 999, 573
333, 191

∴ So the LCM of the given numbers is 3 x 333 x 191 = 190809

Least Common Multiple of 999,573 with GCF Formula

Least Common Multiple of 999,573 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 999,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,573) = 3

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

GCF(999,573) x common factors =3 x 1 = 3

LCM(999,573) = ( 999 × 573 ) / 3

LCM(999,573) = 572427 / 3

LCM(999,573) = 190809


Lets's calculate GCF of 12,8571

3 12, 8571
4, 2857

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190809/3

Therefore the LCM of Fractions 999/12,573/8571 is 63603

Greatest Common Factor of 12,8571 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,8571 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 8571

List of positive integer factors of 8571 that divides 8571 without a remainder.

1,3,2857,8571

Greatest Common Factor

We found the factors 12,8571 . The biggest common factor number is the GCF number.
So the greatest common factor 12,8571 is 3.


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 999/12, 573/8571

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 999/12, 573/8571?

Answer: LCM of Numerators as per given numbers 999/12, 573/8571 is

LCM of Numerators i.e. for 999,573 is 190809

GCF of denominators i.e. for 12,8571 is 3.

Thus, LCM of Fractions is 63603.Finally, LCM of Fractions for 999/12, 573/8571 is 63603.