Question

Find the greatest number of 6 digits exactly divisible by 34 15 36

Answer 1

solution :

the greatest number of 6 digits = 999999

first , we need to find the LCM of 24 , 15 and 36 and the divide 6 digits number 999999 by the LCM and subtract the remainder from 6 digits number 999999 .

24 , 15 & 36

24 = 2 × 2 × 3 × 3

15 = 3 × 5

36 = 2 × 2 × 3 × 3

LCM of 24 , 15 and 36 = 360

now 999999/360

quatient = 2777

reminder = 279

therefore , the remainder is 279 , hence the required number is

999999 - 279 = 99720

hence 999720 is the greatest number of 6 digits exactly divisible by 24 , 15 and 36 .

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