Math, asked by abhigyan10cvi, 1 month ago

Determine the greatest 5 digit number which is exactly divisible by each of 8 15 and 21

Answers

Answered by PinkVine
2

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The greatest 5-digit number is 99999.

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

3 | 8 15 21

2 | 8 57

2 | 4 57

2 | 2 57

5 | 1 5 7

7 | 1 1 7

1 | 1 1

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

Now, Divide 99999 by 840 so that we get the remainder...

→ 99999 = 840 * 119 + 39

Remainder we get is 39. Now, Subtract the remainder from

99999.

→ 99999 - 39 = 99960 (Ans.)

Hence, The required number is 99960 which is exactly divisible by by 8, 15 and 21.

Answered by princerauniyar05
1

Answer:

840✔✅✅✔✔ is the Answers

Step-by-step explanation:

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