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LCM of 7 and 87

The lcm of 7 and 87 is the smallest positive integer that divides the numbers 7 and 87 without a remainder. Spelled out, it is the least common multiple of 7 and 87. Here you can find the result for 7 and 87, along with a total of three methods for computing it.


609

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 7 and 87, but also that of three or more integers including seven and eighty-seven for example. Keep reading to learn everything about the lcm (7,87) and the terms related to it.

What is the Least Common Multiple of 7 and 87?

If you just want to know what is the least common multiple of 7 and 87, it is 609. Usually, this is written as

lcm(7,87) = 609


The lcm of 7 and 87 can be obtained like this:
  • The multiples of 7 are … , 602, 609, 616, ….
  • The multiples of 87 are …, 522, 609, 696, …
  • The common multiples of 7 and 87 are n x 609, intersecting the two sets above, .
  • In the intersection multiples of 7 ∩ multiples of 87 the least positive element is 609.
  • Therefore, the least common multiple of 7 and 87 is 609.

Taking the above into account you also know how to find all the common multiples of 7 and 87, not just the smallest. In the next section we show you how to calculate the lcm of seven and eighty-seven by means of two more methods.

How to find the LCM of 7 and 87

The least common multiple of 7 and 87 can be computed by using the greatest common factor aka gcf of 7 and 87. This is the easiest approach:

lcm (7,87) = = 609



Alternatively, the lcm of 7 and 87 can be found using the prime factorization of 7 and 87:
  • The prime factorization of 7 is: 7
  • The prime factorization of 87 is: 3 x 29
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(7,7) = 609

In any case, the easiest way to compute the result for two numbers like 7 and 87 is by using our calculator above. Note that it can also compute the lcm of more than two numbers, separated by a comma. For example, enter 7,872,2. Push the button only to start over.

Similar searched terms on our site also include:

In the next paragraph we explain how the mathematical concept can be employed.

Keep reading – it’s really interesting.

Use of Least Common Multiple of 7 and 87

What is the least common multiple of 7 and 87 used for? Answer: It is helpful for adding and subtracting fractions like 1/7 and 1/87. Just multiply the dividends and divisors by 87 and 7, respectively, such that the divisors have the value of 609, the lcm of 7 and 87.

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Next, we shed a light on the mathematical properties.

Properties of LCM of 7 and 87

The most important properties of the lcm(7,87) are:

  • Commutative property: lcm(7,87) = lcm(87,7)
  • Associative property: lcm(7,87,n) = lcm(lcm(87,7),n)

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

Summary

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

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– Article written by Mark, last updated on August 8th, 2023