Question

find the greatest number of five digits exactly divisible by 9 ,12,15,18, and 24. please solve me step by step​

Answer 1

Answer:

99720

Step-by-step explanation:

LCM of 9, 12, 15, 18 and 24 by division method is 360.

Largest number of five digits = 99999

The quotient when 99999 is divided by 360 is 277 and the remainder is 279.

∴ Greatest number of five digits divisible by 9, 12, 15, 18 and 24 = 99999 - 279 = 99720

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Answer 2

Step-by-step explanation:

The greatest five digit no. is 99999

Take LCM of 9,12,15,18,24 you get LCM =360

now divide 99999by 360

you get quotient =277,remainder =279

subtracting the remainder you get on divisions from 99999

you get the 99720 which is the largest no. that exactly divisible by 9,12,15,18,24