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Aram says that the least common multiple of 4 and 6 is 24. Which is true about Aram’s statement?

Aram says that the least common multiple of 4 and 6 is 24. Which is true about Aram’s statement?
24 is a common multiple, but not the least common multiple.
24 is the least common multiple.
24 is not a common multiple of 4 and 6.
24 is also the greatest common factor.




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  1. Aram’s statement that the least common multiple (LCM) of 4 and 6 is 24 is incorrect.

    The correct answer is: 24 is a common multiple, but not the least common multiple.

    Explanation:

    The LCM of two numbers is the smallest number that both can divide without leaving a remainder. For 4 and 6, the multiples are:

    – Multiples of 4: 4, 8, 12, 16, 20, 24, …

    – Multiples of 6: 6, 12, 18, 24, …

    The smallest common multiple is 12. Therefore, Aram’s statement is false since 24 is not the least common multiple, but rather a common multiple of 4 and 6.

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