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These are the first five multiples of 15 - OCR - GCSE Maths - Question 6 - 2019 - Paper 1

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These are the first five multiples of 15. 15 30 45 60 75 Write down the first five multiples of 30.

Worked Solution & Example Answer:These are the first five multiples of 15 - OCR - GCSE Maths - Question 6 - 2019 - Paper 1

Step 1

Write down the first five multiples of 30.

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Answer

The first five multiples of 30 can be calculated by multiplying 30 by the first five positive integers:

  1. 30×1=3030 \times 1 = 30
  2. 30×2=6030 \times 2 = 60
  3. 30×3=9030 \times 3 = 90
  4. 30×4=12030 \times 4 = 120
  5. 30×5=15030 \times 5 = 150

Thus, the complete list of the first five multiples of 30 is:

30, 60, 90, 120, 150.

Step 2

Write down the lowest common multiple (LCM) of 15 and 30.

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Answer

To find the LCM of 15 and 30, we can list the multiples:

  • Multiples of 15: 15, 30, 45, 60, 75, ...
  • Multiples of 30: 30, 60, 90, ...

The smallest common multiple in both lists is 30. Therefore, the LCM of 15 and 30 is:

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