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Find the Least Common Multiple (LCM) for 3 and 15
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To find the least common multiple (LCM) for 3 and 15, we need to find the smallest number that is a multiple of both 3 and 15. That means the smallest number that both 3 and 15 go into evenly.
Step-by-step description of how to find the LCM for 3 and 15:
Step 1: List the Multiples of Each Number
• For 3: 3, 6, 9, 12, 15, 18, 21, 24, ...
• For 15: 15, 30, 45, 60, 75, 90, ...
Step 2: Identify the Common Multiples
• Look at the lists of multiples for both 3 and 15. The first common multiple is 15.
Step 3: Determine the LCM
• The LCM is the smallest common multiple. In this case, 15 is the smallest common multiple, so it is the LCM of 3 and 15.
So, the LCM of 3 and 15 is 15. That means 15 is the smallest number that is divisible by both 3 and 15 without leaving a remainder.
Step-by-step description of how to find the LCM for 3 and 15:
Step 1: List the Multiples of Each Number
• For 3: 3, 6, 9, 12, 15, 18, 21, 24, ...
• For 15: 15, 30, 45, 60, 75, 90, ...
Step 2: Identify the Common Multiples
• Look at the lists of multiples for both 3 and 15. The first common multiple is 15.
Step 3: Determine the LCM
• The LCM is the smallest common multiple. In this case, 15 is the smallest common multiple, so it is the LCM of 3 and 15.
So, the LCM of 3 and 15 is 15. That means 15 is the smallest number that is divisible by both 3 and 15 without leaving a remainder.