Question

5. Find the greatest number of 6 digits exactly divisible by 24, 15 and 36.
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Answer 1

Answer:

36 is the greatest number in guven

Answer 2

Answer:

Let us find the LCM of 24,15 & 36

LCM of 24 = 2 × 2 × 2 × 3 = 23 × 3

LCM of 15 = 3 × 5

LCM of 36 = 2 × 2 × 3 × 3 = 22 × 33

LCM of (24, 15 and 36) = 23 × 32 × 5

LCM of (24, 15 and 36) = 8 × 9 × 5  = 360

The greatest 6-digit number is 999999

Let us divide the greatest 6-digit number by LCM of (24, 15 and 36)

⇒ 999999/360

Reminder is 279

∴ 999999−279 = 999720

999720 is the greatest number 6-digit number divisible by 24,15 and 36

Step-by-step explanation:

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