It's not 30
Number Theory
Level
1
Find the smallest non-negative integer such that when it is divided by 2, 3 or 5, the remainder is 0.
The answer is 0.
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1 solution
The LCM of 2,3 and 5 is 30. So 30 can satisfy the condition.
But we know that for a ∈ R and a = 0 , a 0 = 0 . Hence the smallest non-negative integer that is divisible by 2, 3 and 5 is 0.