Least Common Multiple of 16/479, 18/383, 423/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/479, 18/383, 423/870 quickly i.e. 6768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/479, 18/383, 423/870 is 6768.

LCM(16/479, 18/383, 423/870) = 6768

LCM of 16/479, 18/383, 423/870

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 16/479,18/383,423/870

Given numbers are 16/479,18/383,423/870

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 16,18,423

Least Common Multiple of Numerators i.e. LCM of 16,18,423 is 6768.

GCF of Denominators means GCF of 479,383,870 as per the given fractions.

GCF of 479,383,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,18,423

LCM of Fractions 16/479,18/383,423/870 is 6768

2 16, 18, 423
3 8, 9, 423
3 8, 3, 141
8, 1, 47

∴ So the LCM of the given numbers is 2 x 3 x 3 x 8 x 1 x 47 = 6768

Least Common Multiple of 16,18,423 with GCF Formula

Least Common Multiple of 16,18,423 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 16,18,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,18,423) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(16,18,423) x common factors =1 x 18 = 18

LCM(16,18,423) = ( 16 × 18 × 423 ) / 18

LCM(16,18,423) = 121824 / 18

LCM(16,18,423) = 6768


Lets's calculate GCF of 479,383,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6768/1

Therefore the LCM of Fractions 16/479,18/383,423/870 is 6768

Greatest Common Factor of 479,383,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 479,383,870 By Matching Biggest Common Factor Method

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 479,383,870 . The biggest common factor number is the GCF number.
So the greatest common factor 479,383,870 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 16/479, 18/383, 423/870

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 16/479, 18/383, 423/870?

Answer: LCM of Numerators as per given numbers 16/479, 18/383, 423/870 is

LCM of Numerators i.e. for 16,18,423 is 6768

GCF of denominators i.e. for 479,383,870 is 1.

Thus, LCM of Fractions is 6768.Finally, LCM of Fractions for 16/479, 18/383, 423/870 is 6768.