Find the greatest number less than 10000 which is divisible by 48 60 and 64
Answers
Answered by
27
As the largest 4 digit number is 9999
and also less than 10000
Now,
We have to find LCM of 48 , 60 and 64
48 :- 2×2×2×2×3
60 :- 2×2×3×5
64 :- 2×2×2×2×2×2
LCM :- 960
now,
Largest 4 digit no. :- 9999
* Dividing 9999 by 960
960 ) 9999 ( 10
9600
-_____
399
# Required Number :- 9999-399
:-9600
and also less than 10000
Now,
We have to find LCM of 48 , 60 and 64
48 :- 2×2×2×2×3
60 :- 2×2×3×5
64 :- 2×2×2×2×2×2
LCM :- 960
now,
Largest 4 digit no. :- 9999
* Dividing 9999 by 960
960 ) 9999 ( 10
9600
-_____
399
# Required Number :- 9999-399
:-9600
Answered by
2
Answer:
9600
the greatest number less than 10000 is 9999
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