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