Question

find the greatest number of four digits which is exactly divisible by 15, 24 and 36​

Answer 1

Lets take the LCM of (15,24,36)

LCM = 360

Answer 2

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Q.

Find the greatest number of four digits which is exactly divisible by 15, 24 and 36.

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The greatest 4 digit number = 9999

Now,

take the LCM of 15, 24, and 36:-

Prime Factorization Method

15 = 3 × 5

24 = 2 × 2 × 2 × 3

36 = 2 × 2 × 3 × 3

$LCM= {2}^{3} \times {3}^{2} \times 5 = 360$

On dividing 9999 by 360, remainder = 279

Now,

9999 - 279 = 9720

So,

9720 is the greatest number of four digit which is exactly divisible by 15, 24, and 36.