Math, asked by jagdishdhakar1966, 7 months ago

2. Find the least number which becomes exactly divisible by 16, 28, 40 and 77 when 29 is added
to It. answer -6131​

Answers

Answered by kamblesaurabh284
2

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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