QQuestionMathematics
QuestionMathematics
"What is the least common multiple of 4 and 12?
A. 4
B. 12
C. 24
D. 48"
12 months agoReport content
Answer
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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Understand the Definition
The least common multiple (LCM) is the smallest positive number that is divisible by both given numbers.
Step 3:: List the Multiples of 4
Multiples of 4: $$4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, ...
Step 4:: List the Multiples of 12
Multiples of 12: $$12, 24, 36, 48, ...
Step 5:: Identify the Smallest Common Multiple
Looking at the lists, the smallest number that appears in both is $$24$$.
Step 6:: Verify the Calculation
- $$24 \div 4 = 6$$ (whole number)
- 24 \div 12 = 2 (whole number)
Final Answer
The least common multiple of 4 and 12 is 24, which is option C.
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