MCQ
Given that H.C.F. (306, 954, 1314) = 18, find L.C.M. (306, 954, 1314).
- A1183234
- B1123328
- ✓1183914
- D1123238
✓
Answer
Correct option: C.
1183914
(C) 1183914
Explanation: L.C.M. (306, 954, 1314)
$=\frac{306 \times 954 \times 1314 \times \text { H.C.F. }(306,954,1314)}{\text { H.C.F. }(306,954) \times \text { H.C.F. }(954,1314) \times \text { H.C.F. }(306,1314)}$
$=\frac{306 \times 954 \times 1314 \times 18}{18 \times 18 \times 18}=1183914$
Explanation: L.C.M. (306, 954, 1314)
$=\frac{306 \times 954 \times 1314 \times \text { H.C.F. }(306,954,1314)}{\text { H.C.F. }(306,954) \times \text { H.C.F. }(954,1314) \times \text { H.C.F. }(306,1314)}$
$=\frac{306 \times 954 \times 1314 \times 18}{18 \times 18 \times 18}=1183914$
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