Least Common Multiple of 16/382, 21/293, 649/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/382, 21/293, 649/919 quickly i.e. 218064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/382, 21/293, 649/919 is 218064.

LCM(16/382, 21/293, 649/919) = 218064

LCM of 16/382, 21/293, 649/919

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 16/382,21/293,649/919

Given numbers are 16/382,21/293,649/919

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 16,21,649

Least Common Multiple of Numerators i.e. LCM of 16,21,649 is 218064.

GCF of Denominators means GCF of 382,293,919 as per the given fractions.

GCF of 382,293,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,21,649

LCM of Fractions 16/382,21/293,649/919 is 218064

Given numbers has no common factors except 1. So, there LCM is their product i.e 218064

Least Common Multiple of 16,21,649 with GCF Formula

Least Common Multiple of 16,21,649 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 16,21,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,21,649) = 1

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

GCF(16,21,649) x common factors =1 x 1 = 1

LCM(16,21,649) = ( 16 × 21 × 649 ) / 1

LCM(16,21,649) = 218064 / 1

LCM(16,21,649) = 218064


Lets's calculate GCF of 382,293,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218064/1

Therefore the LCM of Fractions 16/382,21/293,649/919 is 218064

Greatest Common Factor of 382,293,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,293,919 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 382,293,919 . The biggest common factor number is the GCF number.
So the greatest common factor 382,293,919 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 16/382, 21/293, 649/919

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 16/382, 21/293, 649/919?

Answer: LCM of Numerators as per given numbers 16/382, 21/293, 649/919 is

LCM of Numerators i.e. for 16,21,649 is 218064

GCF of denominators i.e. for 382,293,919 is 1.

Thus, LCM of Fractions is 218064.Finally, LCM of Fractions for 16/382, 21/293, 649/919 is 218064.