Question

PLASE ANSWER THIS QUESTION ​I GIVE YOU 18 POINTS

Answer 1

(a) 144

(b) 117

(c) 360

(d) 588

(e) 5472

Explanation:

To find the LCM of two numbers, first find the prime factorization of each number. Then the LCM is the product of common and not common factors with the larger exponent.

2.

(a)

`72 = 2^3 * 3^2`

`144 = 2^4 * 3^2`

`LCM = 2^4 * 3^2 = 8 * 9 = 144`

(b)

`39 = 3 * 13`

`117 = 3^2 * 13`

`LCM = 3^2 * 13 = 117`

(c)

`72 = 2^3 * 3^2`

`90 = 2 * 3^2 * 5`

`LCM = 2^3 * 3^2 * 5 = 360`

(d)

`84 = 2^2 * 3 * 7`

`147 = 3 * 7^2`

`LCM = 2^2 * 3 * 7^2 = 588`

(e)

`152 = 2^3 * 19`

`288 = 2^5 * 3^2`

`LCM = 2^5 * 3^2 * 19 = 5472`