Question

What’s the least common multiple of each group of numbers? A. 5 and 6 b. 2 and 9 c. 6 and 8 d. 2, 5, and 6

Answer 1

A) 30

B) 18

C) 24

D) 30

Explanation:

Answer 2

For this case we have that by definition, the LCM of two or more natural numbers is the smallest natural number that is a common multiple of all of them.

So:

A. 5 and 6

The LCM of 5 and 6 is the smallest positive integer that divides the numbers 5 and 6 without leaving a residue.

multiples:

5: 10,15,20,25,30,35,40,45

6: 12,18,24,30,36

`LCM = 30`

B. 2 and 9

Multiplos:

2: 4,6,8,10,12,14,16,18

9: 18,27

`LCM = 18`

C. 6 and 8

6: 12,18,24,30,36

8:16, 24

`LCM = 24`

D. 2,5 and 6

Multiplos:

2: 4,6,8,10,12,14,16,18 ..., 30

5: 10,15,20,25,30,35,40,45

6: 12,18,24,30,36

`LCM = 30`

Answer:

a.30

b.18

c.24

d.30