LCM of 24 and 8


The lcm of 24 and 8 is the smallest positive integer that divides the numbers 24 and 8 without a remainder. Spelled out, it is the least common multiple of 24 and 8. Here you can find the lcm of 24 and 8, along with a total of three methods for computing it. In addition, we have a calculator you should check out. Not only can it determine the lcm of 24 and 8, but also that of three or more integers including twenty-four and eight for example. Keep reading to learn everything about the lcm (24,8) and the terms related to it.

What is the LCM of 24 and 8

If you just want to know what is the least common multiple of 24 and 8, it is 24. Usually, this is written as

lcm(24,8) = 24

The lcm of 24 and 8 can be obtained like this:

  • The multiples of 24 are …, 0, 24, 48, ….
  • The multiples of 8 are …, 16, 24, 32, …
  • The common multiples of 24 and 8 are n x 24, intersecting the two sets above, $\hspace{3px}n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$.
  • In the intersection multiples of 24 ∩ multiples of 8 the least positive element is 24.
  • Therefore, the least common multiple of 24 and 8 is 24.

Taking the above into account you also know how to find all the common multiples of 24 and 8, not just the smallest. In the next section we show you how to calculate the lcm of twenty-four and eight by means of two more methods.

How to find the LCM of 24 and 8

The least common multiple of 24 and 8 can be computed by using the greatest common factor aka gcf of 24 and 8. This is the easiest approach:

lcm (24,8) = $\frac{24 \times 8}{gcf(24,8)} = \frac{192}{8}$ = 24

Alternatively, the lcm of 24 and 8 can be found using the prime factorization of 24 and 8:

  • The prime factorization of 24 is: 2 x 2 x 2 x 3
  • The prime factorization of 8 is: 2 x 2 x 2
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(24,24) = 24

In any case, the easiest way to compute the lcm of two numbers like 24 and 8 is by using our calculator below. Note that it can also compute the lcm of more than two numbers, separated by a comma. For example, enter 24,8. Push the button only to start over.

The lcm is...
Frequently searched terms on our site also include:

Use of LCM of 24 and 8

What is the least common multiple of 24 and 8 used for? Answer: It is helpful for adding and subtracting fractions like 1/24 and 1/8. Just multiply the dividends and divisors by 1 and 3, respectively, such that the divisors have the value of 24, the lcm of 24 and 8.

$\frac{1}{24} + \frac{1}{8} = \frac{1}{24} + \frac{3}{24} = \frac{4}{24}$. $\hspace{30px}\frac{1}{24} – \frac{1}{8} = \frac{1}{24} – \frac{3}{24} = \frac{-2}{24}$.

Properties of LCM of 24 and 8

The most important properties of the lcm(24,8) are:

  • Commutative property: lcm(24,8) = lcm(8,24)
  • Associative property: lcm(24,8,n) = lcm(lcm(8,24),n) $\hspace{10px}n\neq 0 \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$

The associativity is particularly useful to get the lcm of three or more numbers; our calculator makes use of it.

To sum up, the lcm of 24 and 8 is 24. In common notation: lcm (24,8) = 24.

If you have been searching for lcm 24 and 8 or lcm 24 8 then you have come to the correct page, too. The same is the true if you typed lcm for 24 and 8 in your favorite search engine.

Note that you can find the least common multiple of many integer pairs including twenty-four / eight by using the the search form in the sidebar of this page.

Questions and comments related to the lcm of 24 and 8 are really appreciated. Use the form below or send us a mail to get in touch.

Please hit the sharing buttons if our article about the least common multiple of 24 and 8 has been useful to you, and make sure to bookmark our site.

Thanks for your visit.

Print Friendly, PDF & Email
Posted in Least Common Multiple

Leave a Reply

Your email address will not be published. Required fields are marked *

*


Related pages


what is the prime factorization of 84lcm and gcf finderwhat is the prime factorization for 150what is the prime factorization of 198what is the greatest common factor of 24 and 36what is the prime factorization of 210prime factorization 56prime factorization for 81is 36 a prime or composite numberprime factorization of 276write 48 as a product of its prime factorsmultiplication chart 1-40common multiples of 3 and 6prime factorization of 208126 prime factorizationprime factorization of 130write the prime factorization of 36prime factorization of 39prime factorization of 43multiplication table chart up to 100multiplication table to 30025 by 25 multiplication chartgreatest common factor of 48 and 72lowest common multiple of 60 and 96gcf and lcm finderprime factorization of 140is 117 prime numbermultiplication table 20 x 20prime factorization for 96multiplication chart 1-60prime factorization of 345what is the gcf of 44 and 66prime factorization for 125what is the prime factorization of 684what is the prime factorization of 232what is the prime factorization of 110find the prime factorization of 60prime factorization of 43prime factorization of 336the prime factorization of 343prime factorization of 1900multiplication table 20x20 printablewhat is the lcm ofwhat is the gcf of 2common multiples of 6 and 9factorization of 121what is the gcf of 9gcf of 90 and 108prime factors of 441prime factorization of 650gcf of 64 and 48greatest common factor of 75 and 90prime factorization of 96what is the prime factorization of 225find the prime factorization of 150the prime factorization of 6891-56multiplication chart to 25the prime factorization of 105the multiplication table up to 100what is the prime factorization of 103what is the prime factorization of 650what is the greatest common factor of 56 and 64prime factorization of 864prime factor tree of 84prime factor of 57prime factorization for 84prime factorization of 176what is the lowest common multiple of 60 and 96common multiples of 2 and 7what is the prime factorization of 188