greatest 3 digit divisible number 4,5and 6
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Heya User,
--> Let the number be A ..
Then,
--> 4 divides A || 5 divides A || 6 divides A ...
=> LCM( 4 , 5 , 6 ) divides A
=> 60 divides A...
Now, greatest 3 digit no = 999
---> By divisibility, A is even, and is divisible by 3 and ends with a Zero
---> Greatest such number is 990... <--- Your required no..
--> Let the number be A ..
Then,
--> 4 divides A || 5 divides A || 6 divides A ...
=> LCM( 4 , 5 , 6 ) divides A
=> 60 divides A...
Now, greatest 3 digit no = 999
---> By divisibility, A is even, and is divisible by 3 and ends with a Zero
---> Greatest such number is 990... <--- Your required no..
??
I'm the only ACE up here who uses the --> symbols buddy
Answered by
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The greatest 3 digit number divisible by 4, 5 and 6 is 660 as it is divisible by all three numbers
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Then,
--> 4 divides A || 5 divides A || 6 divides A ...
=> LCM( 4 , 5 , 6 ) divides A
=> 60 divides A...
Now, greatest 3 digit no = 999
---> By divisibility, A is even, and is divisible by 3 and ends with a Zero
---> Greatest such number is 990... IS THE ANS