Jared told Alicia that the least common multiple (LCM) of 12 and 20 is 240 because 12 × 20 = 240.
A Jared is not correct because 12 × 20 = 220, so the LCM of 12 and 20 is 220.
B Jared is correct; since 12 × 20 = 240, the LCM of 12 and 20 is 240.
C Jared is not correct because 4 × 3 = 12 and 4 × 5 = 20, so the LCM of 12 and 20 is 4.
D Jared is not correct because 12 × 5 = 60 and 20 × 3 = 60, so the LCM of 12 and 20 is 60.
Jared told Alicia that the least common multiple (LCM) of 12 and 20 is 240 because 12 × 20 = 240. Is Jared correct or not and what would be the LCM of 12 and 20?
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The correct answer is D.
Here’s why: The least common multiple (LCM) is the smallest multiple that two numbers share. To find the LCM of 12 and 20, we can list the multiples of each:
– Multiples of 12: 12, 24, 36, 48, 60, 72, …
– Multiples of 20: 20, 40, 60, 80, …
The smallest common multiple is 60, as it’s the first number that appears in both lists. Therefore, Jared is incorrect in saying the LCM is 240.
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