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Giải Bài 2.38 trang 53 SGK Toán 6 Kết nối tri thức với cuộc sống tập 1

Tìm BCNN của các số sau: a) 30 và 45; b) 18, 27 và 45.

෴Tổng hợp đề thi học kì 2 lớp 6 tất cả các môn - Kết nối tri thức

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Đề bài

Tìm BCNN của các số sau: a) 30 và 45; b) 18, 27 và 45.

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

- Phân tích mỗi số ra thừa số nguyên tố, - Chọn ra các thừa số nguyên tố chung và riêng; - Lập tích các thừa số đã chọn, mỗi thừa số lấy với số mũ lớn nhất. Tích đó là BCNN cần tìm.

Lời giải chi tiết

a) 30 và 45

30 = 2.3.5  ;  45 = 32.5

Ta thấy thừa số nguyên tố chung là 3 và 5; thừa số nguyên tố riêng là 2 Số mũ cao nhất của 3 là 2; số mũ cao nhất của 5 là 1; số mũ cao nhất của 2 là 1

Vậy BCNN(30, 45) = 2.32.5 = 90

b) 18, 27 và 45

18 = 2.32  ;  27 = 33  ;  45 = 32.5

Ta thấy thừa số nguyên tố chung là 3; thừa số nguyên tố riêng là 2 và 5 Số mũ cao nhất của 3 là 3; số mũ cao nhất của 2 là 1; số mũ cao nhất của 5 là 1

Vậy BCNN(18, 27, 45) = 2.33.5 = 270.

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