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Thought-Process to Discover Knowledge

Welcome to nubtrek.

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.

Read in the blogs more about the unique learning experience at nubtrek.
mathsDivisibility in Whole NumbersLeast Common Multiple

LCM Factorization Method

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. 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. 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".

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