Real numbers
Grade Class 10
Question:
<p>If <span class="math-tex">\({p}=2^{3} \times 3^{2} \times 5\)</span> and <span class="math-tex">\({q}=2^{2} \times 3^{3}\)</span>, then the LCM of p and q is:</p>
<p style="display:inline"><span class="math-tex">\(2^{3} \times 3^{3}\)</span></p>
<p style="display:inline"><span class="math-tex">\(2^{2} \times 3^{2}\)</span></p>
<p style="display:inline"><span class="math-tex">\(2^{2} \times 3^{2} \times 5\)</span></p>
<p style="display:inline"><span class="math-tex">\(2^{3} \times 3^{3} \times 5\)</span></p>
Step-by-Step Solution
Key Concept: To find the LCM of numbers in prime factorization form, take the product of the highest power of every prime factor present across all given numbers.
<p><span class="math-tex">\(2^{3} \times 3^{3} \times 5\)</span></p>
Correct Answer: D