Least Common Multiple of 16/192, 399/670, 666/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/192, 399/670, 666/683 quickly i.e. 708624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/192, 399/670, 666/683 is 708624.

LCM(16/192, 399/670, 666/683) = 708624

LCM of 16/192, 399/670, 666/683

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 16/192,399/670,666/683

Given numbers are 16/192,399/670,666/683

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 16,399,666

Least Common Multiple of Numerators i.e. LCM of 16,399,666 is 708624.

GCF of Denominators means GCF of 192,670,683 as per the given fractions.

GCF of 192,670,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,399,666

LCM of Fractions 16/192,399/670,666/683 is 708624

2 16, 399, 666
3 8, 399, 333
8, 133, 111

∴ So the LCM of the given numbers is 2 x 3 x 8 x 133 x 111 = 708624

Least Common Multiple of 16,399,666 with GCF Formula

Least Common Multiple of 16,399,666 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 16,399,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,399,666) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(16,399,666) x common factors =1 x 6 = 6

LCM(16,399,666) = ( 16 × 399 × 666 ) / 6

LCM(16,399,666) = 4251744 / 6

LCM(16,399,666) = 708624


Lets's calculate GCF of 192,670,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 708624/1

Therefore the LCM of Fractions 16/192,399/670,666/683 is 708624

Greatest Common Factor of 192,670,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,670,683 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 192,670,683 . The biggest common factor number is the GCF number.
So the greatest common factor 192,670,683 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 16/192, 399/670, 666/683

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 16/192, 399/670, 666/683?

Answer: LCM of Numerators as per given numbers 16/192, 399/670, 666/683 is

LCM of Numerators i.e. for 16,399,666 is 708624

GCF of denominators i.e. for 192,670,683 is 1.

Thus, LCM of Fractions is 708624.Finally, LCM of Fractions for 16/192, 399/670, 666/683 is 708624.