Find the least square number which is divisible by 9, 12 and 14

March 27, 2024

Find the least square number which is divisible by 9, 12 and 14.

a) 1771

b) 1764

c) 1752

d) 1746

Sol:

LCM of 9, 12 and 14 = 252

252 = 2² × 3² × 7

For perfect square smallest number, multiply by 7

252 × 7 = 2² × 3² × 7 × 7

Required number = 1764