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LCM of 76 and 65

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The lcm of 76 and 65 is the smallest positive integer that divides the numbers 76 and 65 without a remainder. Spelled out, it is the least common multiple of 76 and 65. Here you can find the lcm of 76 and 65, along with a total of three methods for computing it.


4940

This Least Common Multiple Calculator is Really Cool! Click To TweetIn addition, we have a calculator you should check out. Not only can it determine the lcm of 76 and 65, but also that of three or more integers including seventy-six and sixty-five for example. Keep reading to learn everything about the lcm (76,65) and the terms related to it.

What is the LCM of 76 and 65

If you just want to know what is the least common multiple of 76 and 65, it is 4940. Usually, this is written as

lcm(76,65) = 4940

The lcm of 76 and 65 can be obtained like this:

  • The multiples of 76 are … , 4864, 4940, 5016, ….
  • The multiples of 65 are …, 4875, 4940, 5005, …
  • The common multiples of 76 and 65 are n x 4940, intersecting the two sets above, .
  • In the intersection multiples of 76 ∩ multiples of 65 the least positive element is 4940.
  • Therefore, the least common multiple of 76 and 65 is 4940.

Taking the above into account you also know how to find all the common multiples of 76 and 65, not just the smallest. In the next section we show you how to calculate the lcm of seventy-six and sixty-five by means of two more methods.

How to find the LCM of 76 and 65

The least common multiple of 76 and 65 can be computed by using the greatest common factor aka gcf of 76 and 65. This is the easiest approach:

lcm (76,65) = = 4940

Alternatively, the lcm of 76 and 65 can be found using the prime factorization of 76 and 65:

  • The prime factorization of 76 is: 2 x 2 x 19
  • The prime factorization of 65 is: 5 x 13
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(76,76) = 4940

In any case, the easiest way to compute the lcm of two numbers like 76 and 65 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 76,65. Push the button only to start over.

Similar searched terms on our site also include:

Use of LCM of 76 and 65

What is the least common multiple of 76 and 65 used for? Answer: It is helpful for adding and subtracting fractions like 1/76 and 1/65. Just multiply the dividends and divisors by 65 and 76, respectively, such that the divisors have the value of 4940, the lcm of 76 and 65.

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Properties of LCM of 76 and 65

The most important properties of the lcm(76,65) are:

  • Commutative property: lcm(76,65) = lcm(65,76)
  • Associative property: lcm(76,65,n) = lcm(lcm(65,76),n)

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 76 and 65 is 4940. In common notation: lcm (76,65) = 4940.

If you have been searching for lcm 76 and 65 or lcm 76 65 then you have come to the correct page, too. The same is the true if you typed lcm for 76 and 65 in your favorite search engine.

Note that you can find the least common multiple of many integer pairs including seventy-six / sixty-five by using the search form in the sidebar of this page.

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