Question

The smallest 3 digit number divisible by 5,9 and 15 is

Answer 1

Answer:

15 and 9 are multiple of 3 so any number divisible by 15 and 9 are multiple of 3

15*9 = 135.

135 is the right answer.

Answer 2

Answer:

The smallest 3 digit number divisible by 5,9,15  = 225

Step-by-step explanation:

Required to find,

The smallest 3 digit number divisible by 5,9 and 15

Solution:

The smallest number divisible by 5,9,and 15 =  LCM of the numbers 5,9, 15

To find LCM of 5,9,15 by prime factorization method

9 = 3×3

15 = 3×5

LCM of 5,9,15 = 3×3×5×5 = 225

Since LCM of 5,9,15 is 3digit number, the smallest 3 digit number divisible by 5,9,15 =  LCM of 5,9,15 = 225

∴The smallest 3 digit number divisible by 5,9,15  = 225

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