Questions: Reuben must choose a number between 55 and 101 that is a multiple of 4,7, and 14. Write all the numbers that he could choose. If there is more than one number, separate them with commas.

Reuben must choose a number between 55 and 101 that is a multiple of 4,7, and 14. Write all the numbers that he could choose. If there is more than one number, separate them with commas.
Transcript text: Reuben must choose a number between 55 and 101 that is a multiple of 4,7, and 14. Write all the numbers that he could choose. If there is more than one number, separate them with commas.
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Solution

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Solution Steps

Step 1: Identify the range and conditions

Reuben must choose a number between 55 and 101 that is a multiple of 7, 7, and 14.

Step 2: Determine the least common multiple (LCM)

Since 14 is a multiple of both 7 and 7, any multiple of 14 will also be a multiple of 7 and 7. Therefore, we need to find multiples of 14 within the given range.

Step 3: Find multiples of 14 within the range

The multiples of 14 between 55 and 101 are:

  • 56 (14 * 4)
  • 70 (14 * 5)
  • 84 (14 * 6)
  • 98 (14 * 7)

Final Answer

56, 70, 84, 98

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