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