Pertanyaan
KPK dari 39, 63, 84 adalah ....
A: 22 x 32 x 7 x 13
B: 2 x 32 x 7 x 13
C: 22 x 3 x 7 x 13
D: 2 x 3 x 7 x 13
Jawaban
Untuk menemukan KPK (Kelipatan Persekutuan Terkecil) dari beberapa bilangan, Anda perlu memfaktorkan setiap bilangan tersebut ke dalam faktor prima mereka, dan kemudian mengambil setiap faktor dengan pangkat tertinggi yang muncul di salah satu bilangan.
【Deskripsi】
Langkah 1: Faktorkan setiap bilangan menjadi faktor primanya.
- 39 = 3 x 13
- 63 = 3^2 x 7
- 84 = 2^2 x 3 x 7
Langkah 2: Ambil setiap faktor dengan pangkat tertingginya.
- Faktor 2 muncul dengan pangkat tertinggi 2^2.
- Faktor 3 muncul dengan pangkat tertinggi 3^2.
- Faktor 7 muncul dengan pangkat 1 (pangkat tertinggi).
- Faktor 13 muncul dengan pangkat 1 (pangkat tertinggi).
Langkah 3: Kalikan semua faktor tersebut untuk mendapatkan KPK.
KPK = 2^2 x 3^2 x 7 x 13 = 4 x 9 x 7 x 13 = 3276
Namun, ketika kita melihat pilihan jawaban:
A: 22 x 32 x 7 x 13
B: 2 x 32 x 7 x 13
C: 22 x 3 x 7 x 13
D: 2 x 3 x 7 x 13
Kita lihat bahwa tidak ada pilihan yang menghasilkan 3276. Dalam hal ini, mungkin ada kesalahan dalam pilihan jawaban atau dalam pemahaman pertanyaan. Dengan asumsi pertanyaan diberikan dengan benar, kita bisa memeriksa pilihan yang mendekati jawaban:
B: 2 x 32 x 7 x 13 = 4 x 9 x 7 x 13 = 3276
Maka jawaban yang benar adalah B, bukan A seperti yang disebutkan sebelumnya.
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