2. Find the least number which becomes exactly divisible by 16, 28, 40 and 77 when 29 is added
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Answer:
The least number which becomes exactly divisible by 16,28,40 and 77 when 29 is added to it is 6189.
Step-by-step explanation:
To find : The least number which becomes exactly divisible by 16,28,40 and 77 when 29 is added to it?
Solution :
We find the LCM of 16,28,40 and 77.
2 | 16 28 40 77
2 | 8 14 20 77
2 | 4 7 10 77
2 | 2 7 5 77
5 | 1 7 5 77
7 | 1 7 1 77
11 | 1 1 1 11
| 1 1 1 1
When 29 is added.
i.e. 6160+29=6189.
Therefore, The least number which becomes exactly divisible by 16,28,40 and 77 when 29 is added to it is 6189
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