SOLUTION: what is the greatest three digit number that can be divided by 8,10, and 12

SOLUTION: what is the greatest three digit number that can be divided by 8,10, and 12

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Question 348085: what is the greatest three digit number that can be divided by 8,10, and 12
Answer by Jk22(389) (Show Source): You can put this solution on YOUR website!
Plan : find LCM, multiply it maximally :

8=2^3, 10=2*5, 12=2^2*3, LCM=2^3*5*3=8*5*3=120,

Greatest number : 120*8=800+160=960, 120*9>999, hence

hence, answer : 960
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