Real numbers
Grade Class 10
Question:
<p>Given that H.C.F. (306, 954, 1314) = 18, find L.C.M. (306, 954, 1314).</p>
<p style="display:inline">1183234</p>
<p style="display:inline">1183914</p>
<p style="display:inline">1123328</p>
<p style="display:inline">1123238</p>
Step-by-Step Solution
Key Concept: The LCM of three numbers is calculated by dividing the product of the three numbers and their collective HCF by the product of their pairwise HCFs.
<p>L.C.M. (306, 954, 1314)<br />
= <span class="math-tex">$\frac{306 \times 954 \times 1314 \times \text { H.C.F. }(306,954,1314)}{\text { H.C.F. }(306,954) \times \text { H.C.F. }(954,1314) \times \text { H.C.F. }(306,1314)}$</span><br />
= <span class="math-tex">$\frac{306 \times 954 \times 1314 \times 18}{18 \times 18 \times 18}$</span> = 1183914</p>
Correct Answer: B