Question

Find the $L C M$ of the given numbers. $$5,12,15$$

   Find the $L C M$ of the given numbers.
$$5,12,15$$

Prealgebra

Alan S. Tussy, R.… 4th Edition

Chapter 1, Problem 47

Instant Answer

Solved by Expert Brandon Fox

07/24/2020

Step 1

For 5, the multiples are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60. For 12, the multiples are 12, 24, 36, 48, 60. For 15, the multiples are 15, 30, 45, 60. Show more…

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Find the $L C M$ of the given numbers. $$5,12,15$$

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Key Concepts

Least Common Multiple

The Least Common Multiple (LCM) is the smallest positive integer that can be evenly divided by each of a set of given integers. It is crucial in various areas of mathematics, such as solving problems involving fractions, periodic events, and aligning cycles, by providing a common multiple that all numbers share.

Prime Factorization

Prime factorization involves breaking down a number into a product of prime numbers. This method is essential for efficiently finding the LCM, as it allows for the systematic identification and comparison of the prime factors of each number, ensuring that the highest powers of all primes are included in the LCM calculation.

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