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Playing With Numbers — MATHS STD 6 — Question

Gujarat BoardEnglish MediumSTD 6MATHSPlaying With Numbers1 Mark
MCQ
the first four common multiple of numbers $6, 8, 10$ are:
  • A
    $10, 20, 30, 40$
  • ✓
    $120, 240, 360, 480$
  • C
    $8, 40, 80, 120$
  • D
    $6, 60, 120, 240$
✓

Answer

Correct option: B.
$120, 240, 360, 480$
$6 = 2 \times 38 = 2^310 = 2 \times 5$
$\Rightarrow LCM$ of $6, 8, 10 = 2^3 \times 3 \times 5 = 120$
$\therefore 120$ is the least common multiple of $6, 8, 10.$
Thus, all multiples of $120$ are common multiples of $6,8$ and $10.$
$\therefore $ First four common multiples$ = 120, 240, 360, 480$

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