Question

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

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

b.24 is not a common multiple of 4 and 6.

c.24 is the least common multiple.

d.24 is also the greatest common factor.

Answer 1

Answer: c.

Explanation:

thank me later imagine math users

Answer 2

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

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