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