Question

If a = 2³ × 3, b = 2 × 3 × 5, c = 3ⁿ × 5 and LCM (a, b, c) = 2³ × 3² × 5, then n =
A. 1
B. 2
C. 3
D. 4

Answer 1

Answer:

option B is correct n= 2

Answer 2

B. 2

Step-by-step explanation:

Given:

a = 2³ × 3

b = 2 × 3 × 5

c = 3ⁿ × 5

LCM  = 2³ × 3² × 5

LCM  contains 3², but 3² is not a factor of a or b. So it should be a factor of c.

Hence factors of c will be 3² * 5.

Thus we find n = 2.

Option B is the answer.