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Thought-Process to Discover Knowledge

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Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

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This page provides a brief overview of finding least common multiple using factorization method.



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Consider finding the LCM of `36` and `48`. Is it simple to list the multiples of the numbers?

  • for large numbers, listing the multiples is hard
  • for large numbers, listing the multiples is hard
  • for any large numbers, listing the multiples is simple

The answer is "for large numbers, listing the multiples is hard".

Consider finding the LCM of `36` and `48`. Which of the following helps to simplify the problem?

  • Prime factorization of the numbers
  • Prime factorization of the numbers
  • addition and subtraction of the numbers

The answer is "prime factorization of numbers".

Consider finding the LCM of `36` and `48`. simplified procedure to find least common multiple A simplified procedure is given in the figure. The numbers are divided successively by common factors. The common factors and non-common factors are multiplied to get LCM.

Factorization Method to find LCM : The numbers are successively divided by common factors. Product of common factors and the non-common factors is the LCM.Factorization Method to find least common multiple An example with numbers `36` and `48` is given in the figure.

Find the LCM of `280` and `420`?

Use the Factorization Method to find the LCM.

  • `840`
  • `840`
  • `84`

The answer is "`840`".
lcm using factorization method

                            
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