Question

The smallest number divisible by 2, 3 and 5 is:​

Answer 1

Answer:

If you mean the Lowest Common Multiple (LCM) then the answer is 30.

But if you mean the lowest number that can be divided by 2, 3, and 5 then the answer is -∞ because any given number can be divided by any number except 0.

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Answer 2

SOLUTION

TO DETERMINE

The smallest number divisible by 2, 3 and 5

CONCEPT TO BE IMPLEMENTED

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

EVALUATION

Here the given numbers are 2 , 3 , 5

We have to find the smallest number divisible by 2, 3 and 5

We prime factorise the given numbers

2 = 2

3 = 3

5 = 5

The numbers are prime to each other

Hence the required number

= LCM of the numbers

= 2 × 3 × 5

= 30

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