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Here is a list of five numbers - Edexcel - GCSE Maths - Question 21 - 2020 - Paper 3

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Question 21

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Here is a list of five numbers. 98⁵ 98⁶ 98⁷ 98⁸ 98⁹ Find the lowest common multiple of these five numbers.

Worked Solution & Example Answer:Here is a list of five numbers - Edexcel - GCSE Maths - Question 21 - 2020 - Paper 3

Step 1

Find the Lowest Common Multiple

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Answer

To find the lowest common multiple (LCM) of the numbers 98⁵, 98⁶, 98⁷, 98⁸, and 98⁹, we need to consider the highest power of each base that appears in the numbers.

The numbers can be expressed as follows:

  • 98⁵ = 98 × 98 × 98 × 98 × 98
  • 98⁶ = 98 × 98 × 98 × 98 × 98 × 98
  • 98⁷ = 98 × 98 × 98 × 98 × 98 × 98 × 98
  • 98⁸ = 98 × 98 × 98 × 98 × 98 × 98 × 98 × 98
  • 98⁹ = 98 × 98 × 98 × 98 × 98 × 98 × 98 × 98 × 98

The LCM is determined by taking the highest power among these, which is 98⁹. Therefore, the lowest common multiple of the five numbers is:

extLCM=989 ext{LCM} = 98^9

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