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LCM of 53 and 10

The lcm of 53 and 10 is the smallest positive integer that divides the numbers 53 and 10 without a remainder. Spelled out, it is the least common multiple of 53 and 10. Here you can find the result for 53 and 10, along with a total of three methods for computing it.


530

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 53 and 10, but also that of three or more integers including fifty-three and ten for example. Keep reading to learn everything about the lcm (53,10) and the terms related to it.

What is the Least Common Multiple of 53 and 10?

If you just want to know what is the least common multiple of 53 and 10, it is 530. Usually, this is written as

lcm(53,10) = 530


The lcm of 53 and 10 can be obtained like this:
  • The multiples of 53 are … , 477, 530, 583, ….
  • The multiples of 10 are …, 520, 530, 540, …
  • The common multiples of 53 and 10 are n x 530, intersecting the two sets above, .
  • In the intersection multiples of 53 ∩ multiples of 10 the least positive element is 530.
  • Therefore, the least common multiple of 53 and 10 is 530.

Taking the above into account you also know how to find all the common multiples of 53 and 10, not just the smallest. In the next section we show you how to calculate the lcm of fifty-three and ten by means of two more methods.

How to find the LCM of 53 and 10

The least common multiple of 53 and 10 can be computed by using the greatest common factor aka gcf of 53 and 10. This is the easiest approach:

lcm (53,10) = = 530



Alternatively, the lcm of 53 and 10 can be found using the prime factorization of 53 and 10:
  • The prime factorization of 53 is: 53
  • The prime factorization of 10 is: 2 x 5
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(53,53) = 530

In any case, the easiest way to compute the result for two numbers like 53 and 10 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 53,102,2. 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 53 and 10

What is the least common multiple of 53 and 10 used for? Answer: It is helpful for adding and subtracting fractions like 1/53 and 1/10. Just multiply the dividends and divisors by 10 and 53, respectively, such that the divisors have the value of 530, the lcm of 53 and 10.

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Next, we shed a light on the mathematical properties.

Properties of LCM of 53 and 10

The most important properties of the lcm(53,10) are:

  • Commutative property: lcm(53,10) = lcm(10,53)
  • Associative property: lcm(53,10,n) = lcm(lcm(10,53),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 fifty-three / ten 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