Question
To find the Least Common Multiple of 6 and 8 , the following step is used:
the highest common factor of 6 and 8 is multiplied by 6 .
b. select the least of the common multiples of 6 and 8 .
c. multiply 6 and 8
d. the highest common factor of 6 and 8 is multiplied by 8
the highest common factor of 6 and 8 is multiplied by 6 .
b. select the least of the common multiples of 6 and 8 .
c. multiply 6 and 8
d. the highest common factor of 6 and 8 is multiplied by 8
Ask by Rose Stanley. in Guyana
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
To find the Least Common Multiple (LCM) of 6 and 8, list their multiples and choose the smallest common one, which is 24. So, the correct option is b.
Solution
- We need to find a procedure to obtain the Least Common Multiple (LCM) of 6 and 8.
- One method is to list the multiples of both numbers and then select the smallest number that appears in both lists.
- For 6, the multiples are:
- For 8, the multiples are:
- The common multiples are those that appear in both lists. The smallest such number is:
- This means the LCM of 6 and 8 is
, and the procedure used was to “select the least of the common multiples of 6 and 8.”
Thus, the correct option is:
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
Did you know that the Least Common Multiple (LCM) can also be found using prime factorization? For 6, you break it down to 2 and 3, and for 8, it’s 2x2x2. To find the LCM, you take the highest power of each prime: 2^3 (from 8) and 3^1 (from 6), leading you to LCM = 24. Fun fact: this method works for any set of numbers, so get ready for some prime party!
In real-world scenarios, the LCM is super handy! Imagine you have two traffic light cycles: one that changes every 6 seconds and another every 8 seconds. By calculating the LCM, you discover when both lights will turn green simultaneously — in this case, every 24 seconds. Whether you’re a commuter, a baker scaling recipes, or planning events, LCM keeps your timing perfect and synchronized!
