Question

determine the smallest 3 digit exactly divisible by 6 ,10,15 ??? ​

Answer 1

Answer:

120 answer

explanation :

A number which is divisible by lcm of 6,8,12 will be divisible by these numbers.

LCM of 6,8,12 is 24

To find smallest 3 digit number divisible by 24, take the multiples of 24

24×1=24

24×2=48

24×3=72

24×4=96

24×5=120

So the smallest 3 digit number divisible by 6, 8 & 12 is 120.

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Answer 2

LCM of 6,10,15 is 30

Now , as 30 can be divided by each of the given nos.

therefore, multiples of 30 can also be divided by the above nos.

To obtain 30's multiple we just need to multiply it by natural numbers but, taking care that we need a 3-digit multiple of 30. So

30×3=90 (2-digit)

30×4=120 (3-digit)

As the smallest 3-digit multiple of 30 is 120

Therefore, the smallest 3-digit number that is exactly divisible by 6,10,15 is 120

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