lcm of 10 and 11
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 10 and 11. To find the LCM, we can use the concept that it is the smallest number that both 10 and 11 divide without a remainder.
Answer
The least common multiple of 10 and 11 is $110$.
Answer for screen readers
The least common multiple of 10 and 11 is $110$.
Steps to Solve
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Identify the numbers We need to find the LCM of the numbers 10 and 11.
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List the multiples of each number To find the LCM, start by listing some of the multiples of each number.
- Multiples of 10: 10, 20, 30, 40, 50, 60, ...
- Multiples of 11: 11, 22, 33, 44, 55, 66, ...
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Find the smallest common multiple Look for the smallest multiple that appears in both lists.
- From the lists above, we can see that 110 is the first common multiple.
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Conclusion The least common multiple of 10 and 11 is 110.
The least common multiple of 10 and 11 is $110$.
More Information
The least common multiple (LCM) is particularly useful in problems involving fractions and finding denominators. Since 10 and 11 are coprime (have no common factors other than 1), their LCM is simply the product of the two numbers.
Tips
A common mistake is to think the LCM is found by simply adding the two numbers instead of identifying their multiples. Make sure to list out the multiples or use prime factorization to correctly find the LCM.
