LCM of 3 and 100


The lcm of 3 and 100 is the smallest positive integer that divides the numbers 3 and 100 without a remainder. Spelled out, it is the least common multiple of 3 and 100. Here you can find the lcm of 3 and 100, 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 3 and 100, but also that of three or more integers including three and hundred for example. Keep reading to learn everything about the lcm (3,100) and the terms related to it.

What is the LCM of 3 and 100

If you just want to know what is the least common multiple of 3 and 100, it is 300. Usually, this is written as

lcm(3,100) = 300

The lcm of 3 and 100 can be obtained like this:

  • The multiples of 3 are …, 297, 300, 303, ….
  • The multiples of 100 are …, 200, 300, 400, …
  • The common multiples of 3 and 100 are n x 300, intersecting the two sets above, $\hspace{3px}n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$.
  • In the intersection multiples of 3 ∩ multiples of 100 the least positive element is 300.
  • Therefore, the least common multiple of 3 and 100 is 300.

Taking the above into account you also know how to find all the common multiples of 3 and 100, not just the smallest. In the next section we show you how to calculate the lcm of three and hundred by means of two more methods.

How to find the LCM of 3 and 100

The least common multiple of 3 and 100 can be computed by using the greatest common factor aka gcf of 3 and 100. This is the easiest approach:

lcm (3,100) = $\frac{3 \times 100}{gcf(3,100)} = \frac{300}{1}$ = 300

Alternatively, the lcm of 3 and 100 can be found using the prime factorization of 3 and 100:

  • The prime factorization of 3 is: 3
  • The prime factorization of 100 is: 2 x 2 x 5 x 5
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(3,3) = 300

In any case, the easiest way to compute the lcm of two numbers like 3 and 100 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 3,100. Push the button only to start over.

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

Use of LCM of 3 and 100

What is the least common multiple of 3 and 100 used for? Answer: It is helpful for adding and subtracting fractions like 1/3 and 1/100. Just multiply the dividends and divisors by 100 and 3, respectively, such that the divisors have the value of 300, the lcm of 3 and 100.

$\frac{1}{3} + \frac{1}{100} = \frac{100}{300} + \frac{3}{300} = \frac{103}{300}$. $\hspace{30px}\frac{1}{3} – \frac{1}{100} = \frac{100}{300} – \frac{3}{300} = \frac{97}{300}$.

Properties of LCM of 3 and 100

The most important properties of the lcm(3,100) are:

  • Commutative property: lcm(3,100) = lcm(100,3)
  • Associative property: lcm(3,100,n) = lcm(lcm(100,3),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 3 and 100 is 300. In common notation: lcm (3,100) = 300.

If you have been searching for lcm 3 and 100 or lcm 3 100 then you have come to the correct page, too. The same is the true if you typed lcm for 3 and 100 in your favorite search engine.

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

Questions and comments related to the lcm of 3 and 100 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 3 and 100 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


is 983 a prime numberprime factors of 420gcf of 81 and 48prime factorization of 103prime factorization of 164prime factorization of 49what is the lcm of 3 and 7prime factorization of 124write 52 as a product of prime factorswhat is the lcm of 2 and 4is 24 a prime number or a composite numberwhat is the prime factorization of 125what is the greatest common factor of 24 and 108printable multiplication chart 1-202x times tablesgreatest prime factor of 38factor tree for 63what is the greatest common factor of 56 and 64prime factorization 99prime factorization for 120common multiples of 4 and 6gcf of 96 and 144common multiples of 6 and 12what is the lcm of 4 and 5is 847 a prime numberprime factorization of 299what is the prime factorization of 130prime factorization of 69gcfcalculatorwhat is the prime factorization for 132what is the prime factorization of 186prime factorization of 315is 183 a prime numbercommon multiples of 6 and 15is 162 a prime numberwhat is the gcf of 56 and 96what is the prime factorization of 132common multiples of 7 and 9multiplication chart to 200multiplication table up to 10000common multiples of 5 and 6prime factorization of 110prime factorization of 625what are the prime factors of 65100-72what is the gcf of 33 and 66multiplication table 1-30prime factors of 180lcm of 18 and 72what is the greatest common factor of 54 and 63what is the gcf of 33 and 66continuous division method gcfprime factorization of 8375 as a product of prime factorseasiest way to find the greatest common factormultiplication chart 1-13what is the gcf of 75 and 90what is the greatest common factor of 64 and 48what is the prime factorization of 80prime factorization of 52812x multiplication tableprime factorization of 154what is the prime factorization of 125prime factors of 1801-50 multiplication chartprime factors of 490gcf of 40 and 64prime factorization of 255prime factorization 68what is the greatest common factor of 70 and 42prime factorization for 104multiplication 5 times tablesfind the prime factorization of 34prime factorization of 42044 as a product of prime factorsfind the prime factorization of 147