Find the LCM of 9 and 15.

Practice Questions

Q1
Find the LCM of 9 and 15.
  1. 45
  2. 30
  3. 60
  4. 75

Questions & Step-by-Step Solutions

Find the LCM of 9 and 15.
Correct Answer: 45
  • Step 1: List the multiples of 9. The first few multiples are 9, 18, 27, 36, 45, ...
  • Step 2: List the multiples of 15. The first few multiples are 15, 30, 45, 60, ...
  • Step 3: Look for the smallest number that appears in both lists of multiples. The common multiples are 45, ...
  • Step 4: Identify the smallest common multiple. The smallest common multiple is 45.
  • Step 5: Therefore, the LCM of 9 and 15 is 45.
  • Least Common Multiple (LCM) – The LCM of two numbers is the smallest positive integer that is divisible by both numbers.
  • Prime Factorization – Finding the LCM can involve breaking down numbers into their prime factors and using those to determine the smallest common multiple.
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