LCM of 4 and 15

The lcm of 4 and 15 is the smallest positive integer that divides the numbers 4 and 15 without a remainder. Spelled out, it is the least common multiple of 4 and 15. Here you can find the lcm of 4 and 15, 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 4 and 15, but also that of three or more integers including four and fifteen for example. Keep reading to learn everything about the lcm (4,15) and the terms related to it.

What is the LCM of 4 and 15

If you just want to know what is the least common multiple of 4 and 15, it is 60. Usually, this is written as

lcm(4,15) = 60

The lcm of 4 and 15 can be obtained like this:

  • The multiples of 4 are …, 56, 60, 64, ….
  • The multiples of 15 are …, 45, 60, 75, …
  • The common multiples of 4 and 15 are n x 60, intersecting the two sets above, $\hspace{3px}n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$.
  • In the intersection multiples of 4 ∩ multiples of 15 the least positive element is 60.
  • Therefore, the least common multiple of 4 and 15 is 60.

Taking the above into account you also know how to find all the common multiples of 4 and 15, not just the smallest. In the next section we show you how to calculate the lcm of four and fifteen by means of two more methods.

How to find the LCM of 4 and 15

The least common multiple of 4 and 15 can be computed by using the greatest common factor aka gcf of 4 and 15. This is the easiest approach:

lcm (4,15) = $\frac{4 \times 15}{gcf(4,15)} = \frac{60}{1}$ = 60

Alternatively, the lcm of 4 and 15 can be found using the prime factorization of 4 and 15:

  • The prime factorization of 4 is: 2 x 2
  • The prime factorization of 15 is: 3 x 5
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(4,4) = 60

In any case, the easiest way to compute the lcm of two numbers like 4 and 15 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 4,15. Push the button only to start over.

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

Use of LCM of 4 and 15

What is the least common multiple of 4 and 15 used for? Answer: It is helpful for adding and subtracting fractions like 1/4 and 1/15. Just multiply the dividends and divisors by 15 and 4, respectively, such that the divisors have the value of 60, the lcm of 4 and 15.

$\frac{1}{4} + \frac{1}{15} = \frac{15}{60} + \frac{4}{60} = \frac{19}{60}$. $\hspace{30px}\frac{1}{4} – \frac{1}{15} = \frac{15}{60} – \frac{4}{60} = \frac{11}{60}$.

Properties of LCM of 4 and 15

The most important properties of the lcm(4,15) are:

  • Commutative property: lcm(4,15) = lcm(15,4)
  • Associative property: lcm(4,15,n) = lcm(lcm(15,4),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 4 and 15 is 60. In common notation: lcm (4,15) = 60.

If you have been searching for lcm 4 and 15 or lcm 4 15 then you have come to the correct page, too. The same is the true if you typed lcm for 4 and 15 in your favorite search engine.

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

Questions and comments related to the lcm of 4 and 15 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 4 and 15 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 lcm of 10 and 5write 72 as a product of prime factorscommon multiples of 8 and 12gcf of 42 and 66what is the prime factors of 90what is the prime factorization of 144100-68prime factors of 56the prime factorization of 4875 as a product of prime factorsprime factorization of 135greatest common factor of 54 and 63what is the gcf of 100prime factorization 189what is the lcm of 15what is the greatest common factor of 63 and 81prime factorization 8120 x 20 multiplication tableprime factorization of 18449 prime factorizationwhat is the prime factorization for 49hcf of 84 and 120prime factorization of 140prime factorization of 700gcf of 45 and 72common multiples of 15multiples of tencommon multiples of 2 and 4prime factorization of 196what is the lcm of 3 and 10write 54 as a product of prime factorscommon denominator of 7 and 12prime factorization 7285 prime factorizationthe prime factorization of 88multiplication table 20x20 printablewhat is the lcm of 12prime factorization of 58factor tree of 84prime factorization 196find the prime factorization of 609x tablewhat is the gcf of 9prime factorization for 1000greatest common factor of 28 and 48printable multiplication table 1-100is 237 a prime numberis 72 a prime or composite numbermultiplication chart that goes up to 100is 509 a prime numberprime factorization of 42 using exponentswhat is the lcm of 6 and 4least common multiples of 6 and 8prime factors of 66find the prime factorization of 147gcf of 28 and 98prime factorization of 94what is the lcm of 12write the prime factorization of 48what are the prime factors of 385multiplication table from 1 to 100is 24 a composite or prime number36-27-36what is the lcm of 2 and 12is 237 a prime numberwhat is the greatest common factor of 63 and 81find the lcm of 12 and 15gcf of 98prime factors of 130the prime factorization of 92multiplication chart 300what is the largest prime factor of 200the prime factorization of 54prime factorization 588find the prime factorization of 49