Least Common Multiple of 999/27, 581/42, 234/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 999/27, 581/42, 234/699 quickly i.e. 5030298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 999/27, 581/42, 234/699 is 5030298.

LCM(999/27, 581/42, 234/699) = 5030298

LCM of 999/27, 581/42, 234/699

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 999/27,581/42,234/699

Given numbers are 999/27,581/42,234/699

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 999,581,234

Least Common Multiple of Numerators i.e. LCM of 999,581,234 is 15090894.

GCF of Denominators means GCF of 27,42,699 as per the given fractions.

GCF of 27,42,699 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 999,581,234

LCM of Fractions 999/27,581/42,234/699 is 5030298

3 999, 581, 234
3 333, 581, 78
111, 581, 26

∴ So the LCM of the given numbers is 3 x 3 x 111 x 581 x 26 = 15090894

Least Common Multiple of 999,581,234 with GCF Formula

Least Common Multiple of 999,581,234 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 999,581,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,581,234) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(999,581,234) x common factors =1 x 9 = 9

LCM(999,581,234) = ( 999 × 581 × 234 ) / 9

LCM(999,581,234) = 135818046 / 9

LCM(999,581,234) = 15090894


Lets's calculate GCF of 27,42,699

3 27, 42, 699
9, 14, 233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15090894/3

Therefore the LCM of Fractions 999/27,581/42,234/699 is 5030298

Greatest Common Factor of 27,42,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,42,699 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 27,42,699 . The biggest common factor number is the GCF number.
So the greatest common factor 27,42,699 is 3.


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 999/27, 581/42, 234/699

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 999/27, 581/42, 234/699?

Answer: LCM of Numerators as per given numbers 999/27, 581/42, 234/699 is

LCM of Numerators i.e. for 999,581,234 is 15090894

GCF of denominators i.e. for 27,42,699 is 3.

Thus, LCM of Fractions is 5030298.Finally, LCM of Fractions for 999/27, 581/42, 234/699 is 5030298.