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Given that 168 = 2^3 × 3 × 7, find the lowest common multiple (LCM) of 168 and 30. - OCR - GCSE Maths - Question 2 - 2019 - Paper 1
Question 2
Given that 168 = 2^3 × 3 × 7, find the lowest common multiple (LCM) of 168 and 30.
Worked Solution & Example Answer:Given that 168 = 2^3 × 3 × 7, find the lowest common multiple (LCM) of 168 and 30. - OCR - GCSE Maths - Question 2 - 2019 - Paper 1
Step 1
Step 2
Identify the highest power of each prime factor
Answer
Now, we will identify the highest powers of the prime factors from both numbers:
- For the prime number 2, the highest power is from 168, which is .
- For the prime number 3, the highest power is (both 168 and 30 have ).
- For the prime number 5, the highest power is (only in 30).
- For the prime number 7, the highest power is (only in 168).
Step 3