Question

Smallest 4 digit divisible no. Of 18 24 32

Answer 1

Answer:

LCM of 18, 24 and 32:

18 = 2 x 3 x 3

24 = 2 x 2 x 2 x 3

32 = 2 x 2 x 2 x 2 x 2

LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288

The smallest four digit number that is divisible by 288:

288 x 3 = 864

288 x 4 = 1152

Since 288 is divisible by 18, 24 and 32, 1152 is also divisible by all these numbers.

Therefore, 1152 is the smallest four digit number divisible by 18, 24 and 32.

Answer 2

The smallest 4 digit divisible number of 18, 24 and 32 is 1152.

Step by step calculation

Calculate the LCM of 18,24 and 32 to get the least common factor of the 3 given numbers

• 18 = 2 x 3 x 3
• 24 = 2 x 2 x 2 x 3
• 32 = 2 x 2 x 2 x 2 x 2

      LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288

The smallest number that is divisible is 288.

To find the smallest 4 digit number, find the multiples of 288

288 x 3 = 864

288 x 4 = 1152 (4 digit number)

• As 288 is divisible by all the 3 numbers, therefore the multiples of 288 will also be divisible by 3 numbers.

So the smallest 4 digit divisible number of 18,24,32 is 1152.

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