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3 years ago

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

Mathematics

1 answer:

mojhsa [17]3 years ago

6 0

Answer:

a. 24 is a common multiple, but not the least common multiple

Step-by-step explanation:

To check which statement is true, we need to follow the steps below;

First, lets find the multiples of 4 and then multiples of 6

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28.....................................................

Multiples of 6 =6, 12, 18, 24, 32 ................................................................

Common multiples of 4 and 6 are 12, 24

The least common multiples of 4 and 6 is 12

Therefore 24 is a common multiple of 4 and 6 but its not the least common multiple of 4 and 6 rather 12 is the least common multiple of 4 and 6.

Next lets find the factors of 4 and 6

Factors of 4 = 1, 2, 4

Factors of 6 = 1, 2, 3, 6.

Common factors of 4 and 6= 1, 2

Greatest common factor of 4 and 6 = 2

Therefore, 24 is also not the greatest common factors of 4 and 6 but rather 2 is the greatest common factor.

Therefore the only true statements of Aram is option a. 24 is a common multiple, but not the least common multiple

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