in31. Determine the greatest 5 digit number which is exactly divisible by 8, 12, 16, 28
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Answer:
the greatest 5 digit no.is 99792 which is exactly divisible by 8,12,16,28
Step-by-step explanation:
Given :
The greatest 5 digit no. =99999
L.C.M of 8,12 ,16,28
2| 8 12 16 28
2|4 6 8 14
2|2 3 4 7
1 3 2 7
L.C.M of 8,12,16,28=2× 2 × 2 × 1× 3 × 2 ×7=336
Divide 99999 by 336 so that we get the remainder,
99999= 297 × 336 +207
Remainder is 207
Now subtract the remainder from 99999
99999 - 207=99792
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