Question

Determine the largest three-digit number exactly divisible by 8, 10 and 12


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Answer 1

Answer:

Okay, the greatest three-digit number that is 999 - 39 is your answer. So 999 - 39 Is 960 so thus greatest three-digit number which divides 8 10 and 12 exactly is 960.

Step-by-step explanation:

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Answer 2

960

Step-by-step explanation:

QUESTION :-

Determine the largest three-digit number, exactly divisible by 8, 10 and 12.

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SOLUTION :-

First,

We have to find the LCM of 8, 10 & 12.

LCM -

2 | 8, 10, 12

2 | 4, 5, 6

2, 5, 3

=> LCM = 2×2×2×5×3

= 120

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Now,

The largest three-digit number is 999.

So,

We have to divide 999 by 120

=>

120) 999 (8

- 960

39

Here,

Quotient = 8

Remainder = 39

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The required number = Largest three-digit number – remainder

= 999 - 39

= 960

So,

The largest three-digit number exactly divided by 8, 10 & 12 is 960.

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Hope it helps.

#BeBrainly :-)