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A number is divisible by both 12 and 15. What is the smallest number that is als
A number is divisible by both 12 and 15. What is the smallest number that is also divisible by 36? (2023)
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A number is divisible by both 12 and 15. What is the smallest number that is also divisible by 36? (2023)
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The LCM of 12 and 15 is 60. The smallest number divisible by 60 and 36 is 180.
Questions & Step-by-step Solutions
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Q
Q: A number is divisible by both 12 and 15. What is the smallest number that is also divisible by 36? (2023)
Solution:
The LCM of 12 and 15 is 60. The smallest number divisible by 60 and 36 is 180.
Steps: 8
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Step 1: Find the Least Common Multiple (LCM) of 12 and 15.
Step 2: To find the LCM, list the multiples of 12: 12, 24, 36, 48, 60, ...
Step 3: List the multiples of 15: 15, 30, 45, 60, 75, ...
Step 4: Identify the smallest common multiple from both lists. The smallest common multiple is 60.
Step 5: Now, we need to find the smallest number that is divisible by both 60 and 36.
Step 6: List the multiples of 60: 60, 120, 180, ...
Step 7: List the multiples of 36: 36, 72, 108, 144, 180, ...
Step 8: Identify the smallest common multiple from both lists. The smallest common multiple is 180.
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