Question

determine the greatest 3 digit number exactly divisible by 8,10,12​

Answer 1

Answer:

LCM of 8,10 and 12 is120

The greatest number that is

exactly divisible by 8,9 and 12

•°•the number is

$120 \times 8 = 960$

$120 \times 10 = 1200$

$120 \times 12 = 1440$

Since, 1200 and 1440 are not 3-digit numbers

We check whether 960 is divisible by 8,10 and 12

$960 \div 8 = 120$

$960 \div 10 = 96$

$960 \div 12 = 80$

•°•The the greatest 3-digit number divisible by 8, 10 and 12 is 960

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Answer 2

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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