Question

find the largest 5-digit number exactly divisible by 36, 24, 18, 15 and 9​

Answer 1

Answer:

99720

Step-by-step explanation:

LCM of 36,24,15 is 360

when 360 is divide by 99999 the remainder is 279

Therefore, 99999-279=99720 is the largest 5 digit number divisible by 36,27,15,18 and 9

Answer 2

Answer:

99,720.

Step-by-step explanation:

To find a number exactly divisible by some given numbers first find their LCM.

LCM of 36, 24, 18, 15 and 9 ...

  3² * 2², 3 * 2³, 3² * 2, 3 * 5, and 3²

LCM = 3² * 2³ * 5 = 360

Five digit numbers : 10,000 to 99,999.

100,000 = 360 * 277 + 280.

So 100,000 - 280 = 99,720 is exactly divisible by 360.

That's the answer.