Least Common Multiple of 16/389, 449/562, 838/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/389, 449/562, 838/129 quickly i.e. 3010096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/389, 449/562, 838/129 is 3010096.

LCM(16/389, 449/562, 838/129) = 3010096

LCM of 16/389, 449/562, 838/129

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 16/389,449/562,838/129

Given numbers are 16/389,449/562,838/129

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 16,449,838

Least Common Multiple of Numerators i.e. LCM of 16,449,838 is 3010096.

GCF of Denominators means GCF of 389,562,129 as per the given fractions.

GCF of 389,562,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,449,838

LCM of Fractions 16/389,449/562,838/129 is 3010096

2 16, 449, 838
8, 449, 419

∴ So the LCM of the given numbers is 2 x 8 x 449 x 419 = 3010096

Least Common Multiple of 16,449,838 with GCF Formula

Least Common Multiple of 16,449,838 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 16,449,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,449,838) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,449,838) x common factors =1 x 2 = 2

LCM(16,449,838) = ( 16 × 449 × 838 ) / 2

LCM(16,449,838) = 6020192 / 2

LCM(16,449,838) = 3010096


Lets's calculate GCF of 389,562,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3010096/1

Therefore the LCM of Fractions 16/389,449/562,838/129 is 3010096

Greatest Common Factor of 389,562,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,562,129 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 389,562,129 . The biggest common factor number is the GCF number.
So the greatest common factor 389,562,129 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 16/389, 449/562, 838/129

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 16/389, 449/562, 838/129?

Answer: LCM of Numerators as per given numbers 16/389, 449/562, 838/129 is

LCM of Numerators i.e. for 16,449,838 is 3010096

GCF of denominators i.e. for 389,562,129 is 1.

Thus, LCM of Fractions is 3010096.Finally, LCM of Fractions for 16/389, 449/562, 838/129 is 3010096.