LCM of 50 and 15


The lcm of 50 and 15 is the smallest positive integer that divides the numbers 50 and 15 without a remainder. Spelled out, it is the least common multiple of 50 and 15. Here you can find the lcm of 50 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 50 and 15, but also that of three or more integers including fifty and fifteen for example. Keep reading to learn everything about the lcm (50,15) and the terms related to it.

What is the LCM of 50 and 15

If you just want to know what is the least common multiple of 50 and 15, it is 150. Usually, this is written as

lcm(50,15) = 150

The lcm of 50 and 15 can be obtained like this:

  • The multiples of 50 are …, 100, 150, 200, ….
  • The multiples of 15 are …, 135, 150, 165, …
  • The common multiples of 50 and 15 are n x 150, intersecting the two sets above, $\hspace{3px}n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$.
  • In the intersection multiples of 50 ∩ multiples of 15 the least positive element is 150.
  • Therefore, the least common multiple of 50 and 15 is 150.

Taking the above into account you also know how to find all the common multiples of 50 and 15, not just the smallest. In the next section we show you how to calculate the lcm of fifty and fifteen by means of two more methods.

How to find the LCM of 50 and 15

The least common multiple of 50 and 15 can be computed by using the greatest common factor aka gcf of 50 and 15. This is the easiest approach:

lcm (50,15) = $\frac{50 \times 15}{gcf(50,15)} = \frac{750}{5}$ = 150

Alternatively, the lcm of 50 and 15 can be found using the prime factorization of 50 and 15:

  • The prime factorization of 50 is: 2 x 5 x 5
  • 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(50,50) = 150

In any case, the easiest way to compute the lcm of two numbers like 50 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 50,15. Push the button only to start over.

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

Use of LCM of 50 and 15

What is the least common multiple of 50 and 15 used for? Answer: It is helpful for adding and subtracting fractions like 1/50 and 1/15. Just multiply the dividends and divisors by 3 and 10, respectively, such that the divisors have the value of 150, the lcm of 50 and 15.

$\frac{1}{50} + \frac{1}{15} = \frac{3}{150} + \frac{10}{150} = \frac{13}{150}$. $\hspace{30px}\frac{1}{50} – \frac{1}{15} = \frac{3}{150} – \frac{10}{150} = \frac{-7}{150}$.

Properties of LCM of 50 and 15

The most important properties of the lcm(50,15) are:

  • Commutative property: lcm(50,15) = lcm(15,50)
  • Associative property: lcm(50,15,n) = lcm(lcm(15,50),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 50 and 15 is 150. In common notation: lcm (50,15) = 150.

If you have been searching for lcm 50 and 15 or lcm 50 15 then you have come to the correct page, too. The same is the true if you typed lcm for 50 and 15 in your favorite search engine.

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

Questions and comments related to the lcm of 50 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 50 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


38-26-38prime factorization of 150prime factorization for 39what is the gcf of 72 and 36write 840 as a product of prime factorswhat is the prime factorization of 6881 prime factorizationmultiples of elevenprime factorization of 154multiplication chart 1-60the prime factorization of 1501-100 times table charthcf of 64what is the prime factorization of 188what is the greatest common factor of 84what is the prime factorization of 78find the greatest common factor of 16 and 36is 999 a prime numberwhat is the lcm of 3 and 10prime factorization of 91what is the gcf of 2prime factorization of 256prime factorization of 468greatest common factor of 54 and 63multiplication table to 300factor tree for 96what is prime factorization of 813s times tableslcm and gcf finder132 prime factorizationwhat is the prime factorization of 135what is the lcm of 6 and 4what is a prime factorization of 72gcf of 45 and 63what is the prime factorization of 230what are the prime factors of 57prime factors of 74find the prime factorization of 105prime factor tree of 81what is the prime factorization of 150prime factorization of 47gcf of 121what is the highest common factor of 48 and 88prime factorization of 66is 621 a prime numberwhat is the lcm of 60 and 150is 157 a prime numberprime factorization of 195prime factorization 441factorization of 180multiplication table chart 1-100prime factorization of 157prime factorization 150what is the prime factorization of 420write 600 as a product of its prime factorsmultiplication chart 40x40prime factorization of 875what is the greatest common factor of 72 and 96easiest way to find greatest common factorfind the prime factorization of 28easiest way to find lcm81-36common multiples of 5 and 7prime factorization of 130what is prime factorization of 63prime factorization of 130prime factorization of 79what are the prime factors of 42a multiplication chart that goes to 1000what is the greatest prime factor of 38multiplication chart 300