Question

which smallest 3 digit number is divisible by 12 18 and 24 ​

Answer 1

Answer:

The Smallest number exactly divisible by 6, 8 and 12

Let us determine the LCM of 6, 8, 1 2

Common Multiples of 6: 6,12,18,24,30,36,42…..

Common Multiples of 8: 8,16,24,32,40,48,54……

Common Multiples of 12: 12,24,36,48,60,72,…

We note that 2 4 is the least common multiple of 6,8 and 12

We have to find the smallest 3 -digit multiple of 24.

Also 24 × 4 = 96 and 24 ×5 = 120.

The smallest 3-digit number which is exactly divisible by 6,8 and 12 is 120.

Answer 2

SOLUTION

TO DETERMINE

The smallest 3 digit number divisible by 12 , 18 and 24

EVALUATION

Here the given numbers are 12 , 18 and 24

Now we find the LCM of the numbers

12 = 2 × 2 × 3

18 = 2 × 3 × 3

24 = 2 × 2 × 2 × 3

LCM = 2 × 2 × 2 × 3 × 3 = 72

Now

72 × 1 = 72

72 × 2 = 144

Hence the required smallest 3 digit number divisible by 12 , 18 and 24 is 144

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