Matematika

Pertanyaan

tentukan KPK dari tiga bilangan berikut !
11. 84,168,dan210
12. 78,117,dan156
13. 112,168dan224
14. 105,210,dan315
15. 144,192,dan288

1 Jawaban

  • 11. 86 = 2 × 43
    168 = 2³ × 3 × 7
    210 = 2 × 3 × 5 × 7
    Kpk = 2³ × 3 × 5 × 7 × 43
    = 8 × 3 × 5 × 7 × 43
    = 36.120

    12. 78 = 2 × 3 × 13
    117 = 3² × 13
    156 = 2² × 3 × 13
    Kpk = 2² × 3² × 13
    = 4 × 9 × 13
    = 468

    13. 112 = 2⁴ × 7
    168 = 2³ × 3 × 7
    224 = 2 pangkat 5 × 7
    Kpk = 2 pangkat 5 × 3 × 7
    = 32 × 3 × 7
    = 672

    14. 105 = 3 × 5 × 7
    210 = 2 × 3 × 5 × 7
    215 = 3² × 5 × 7
    Kpk = 2 × 3² × 5 × 7
    = 2 × 9 × 5 × 7
    = 630

    15. 144 = 2⁴ × 3²
    192 = 2 pangkat 6 × 3
    288 = 2 pangkat 5 × 3²
    Kpk = 2 pangkat 6 × 3²
    = 64 × 9
    = 576

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