Home » Least Common Multiple » LCM of 91 and 49

LCM of 91 and 49

The lcm of 91 and 49 is the smallest positive integer that divides the numbers 91 and 49 without a remainder. Spelled out, it is the least common multiple of 91 and 49. Here you can find the result for 91 and 49, along with a total of three methods for computing it.


637

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 91 and 49, but also that of three or more integers including ninety-one and forty-nine for example. Keep reading to learn everything about the lcm (91,49) and the terms related to it.

What is the Least Common Multiple of 91 and 49?

If you just want to know what is the least common multiple of 91 and 49, it is 637. Usually, this is written as

lcm(91,49) = 637


The lcm of 91 and 49 can be obtained like this:
  • The multiples of 91 are … , 546, 637, 728, ….
  • The multiples of 49 are …, 588, 637, 686, …
  • The common multiples of 91 and 49 are n x 637, intersecting the two sets above, .
  • In the intersection multiples of 91 ∩ multiples of 49 the least positive element is 637.
  • Therefore, the least common multiple of 91 and 49 is 637.

Taking the above into account you also know how to find all the common multiples of 91 and 49, not just the smallest. In the next section we show you how to calculate the lcm of ninety-one and forty-nine by means of two more methods.

How to find the LCM of 91 and 49

The least common multiple of 91 and 49 can be computed by using the greatest common factor aka gcf of 91 and 49. This is the easiest approach:

lcm (91,49) = = 637



Alternatively, the lcm of 91 and 49 can be found using the prime factorization of 91 and 49:
  • The prime factorization of 91 is: 7 x 13
  • The prime factorization of 49 is: 7 x 7
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(91,91) = 637

In any case, the easiest way to compute the result for two numbers like 91 and 49 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 91,492,2. 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 91 and 49

What is the least common multiple of 91 and 49 used for? Answer: It is helpful for adding and subtracting fractions like 1/91 and 1/49. Just multiply the dividends and divisors by 7 and 13, respectively, such that the divisors have the value of 637, the lcm of 91 and 49.

. .

Next, we shed a light on the mathematical properties.

Properties of LCM of 91 and 49

The most important properties of the lcm(91,49) are:

  • Commutative property: lcm(91,49) = lcm(49,91)
  • Associative property: lcm(91,49,n) = lcm(lcm(49,91),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 ninety-one / forty-nine by using the search form in the sidebar of this page.

Questions and comments 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 91 and 49 has been useful to you, and make sure to bookmark our site.

If you have some time left check out the related sites and resources in the sidebar of this site.

Thanks for your visit.

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