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Determine smallest 3 digit number which is exactly divisible by 6, 8 and 12​

User HBat
by
4.5k points

2 Answers

5 votes

Answer:

120

Explanation:

User Mathew Byrne
by
4.7k points
4 votes

Answer:

120

Explanation:

  • Common Multiples of 6: 6,12,18,24,30,36,42
  • Common Multiples of 8: 8,16,24,32,40,48,54
  • Common Multiples of 12: 12,24,36,48,60,72

We note that 2, 4 is the least common multiple of 6,8 and 12

We have to find the smallest 3 -digit multiple of 24.

Also 24 × 4 = 96 and 24 ×5 = 120.

The smallest 3-digit number which is exactly divisible by 6,8 and 12 is 120.

User Joseph Sanjaya
by
5.0k points