a common multiple of 3,4 and 5 less than 150
120
?????
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To find the least common multiple (LCM) of three numbers, in this case, 3, 4, and 5, you can follow these steps:
1. List the multiples of each number until you find a common multiple:
- Multiples of 3: 3, 6, 9, 12, 15, 18, ...
- Multiples of 4: 4, 8, 12, 16, 20, 24, ...
- Multiples of 5: 5, 10, 15, 20, 25, 30, ...
2. Identify the common multiples by looking for numbers that appear in all three lists:
- From the given lists, the first common multiple is 12.
3. Check if the common multiples are less than 150:
- The LCM we found, 12, is less than 150.
Therefore, the common multiple of 3, 4, and 5 that is less than 150 is 12.