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determine the greatest 3-digit numbers exactly divisible by 8,9and12

Answer :

kusumkushi12
greatest  3 - digit no. is 8*10*12=960

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Prime factorization of

8=2×2×2

10=2×5

12=2×2×3

LCM of (8,10and 12) =2×2×2×3×5=120

Largest three digit number which is divible by 120 is 960

Hence,the required number is 960

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