Question

Write the smallest 4digit number which is divisible by 12,24,and 32

Answer 1

Answer:

1152

Step-by-step explanation:

• lcm of 12,24,32 is 288.
• the smallest 4digit number should be mutliple of 288.

Answer 2

The required number is 1056

Step-by-step explanation:

To find the smallest 4 digit number which is divisible by 12, 24 and 32, we find the LCM of the three numbers.

• 1st number = 12 = 2 × 2 × 3

• 2nd number = 24 = 2 × 2 × 2 × 3

• 3rd number = 32 = 2 × 2 × 2 × 2 × 2

Thus LCM (12, 24, 32)

= 2 × 2 × 2 × 2 × 2 × 3

= 96

Now we multiply 96 by 10, which gives 960 and we multiply 96 by 11, which gives 1056.

So if we multiply 96 by 11, we get a 4 digit number which is 1056 and this is the smallest.