Question

1. Determine the greatest 5- digit number which is exactly divisible by each of 8, 15, 21.​

Answer 1

Answer:

The greatest 5-digit number is 99999.

step-by-step explanation:

Now, Find the LCM of 8 , 15, and 21.

LCM :- 3 * 2 * 2 * 2 * 5 * 7 = 840.

Answer 2

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Find the LCM of 8 , 15, and 21.

3 | 8, 15, 21  

2 | 8, 5, 7  

2 | 4, 5, 7  

2 | 2, 5, 7  

5 | 1, 5, 7  

7 | 1, 1, 7  

| 1 1 1

LCM :- 3 × 2 × 2 × 2 × 5 × 7 = 840

Divide 99999 by 840 so that we get the remainder

→ 99999 = 840 × 119 + 39  

Remainder= 39

Now, Subtract the remainder from 99999.

→ 99999 - 39 = 99960

Answer:- 99960

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