Correct Answer - Option 2 : 1152
Given:
Given numbers are 18, 24 and 32
Concept Used:
LCM (Least Common Multiple): LCM of x and y is the least common multiple of x and y which is perfectly divisible by both x and y
For Example,
3 → Multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, …
4 → Multiple of 4 are 4, 8, 12, 16, 20, 24, 28, 32, …
Here common are 12 and 24. But of these 12 is least
∴ LCM of 3 and 4 is 12
Calculation:
LCM of 18, 24 and 32 is 288
The smallest 4-digit number is 1000
Divide the smallest 4-digit number by 288 get the remainder 136
Now, (288 - 136) = 152
Required smallest number is 1000 + 152 = 1152
∴ The smallest 4-digit number which is divisible by 18, 24 and 32 is 1152
