Question

find the smallest 4 digit number which is divisible by 18, 24 and 32 I was this many times but everyone is saying the answer is 1152 but no one is giving explanation please this time give it​

Answer 1

ANSWER

First we need to find the L.C.M.(18, 24, 32).  

18=2×3224=23×332=25  

L.C.M.(18, 24, 32)=25×32=288  

The smallest 4-digit number is 1000.  

⌈1000288⌉=4⌈⌉is the ceiling function.  

∴The smallest 4-digit number divisible by 18, 24 and 32 is  

=4×288=1152