tìm BCNN của 70 và 180
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a) Có 40 = 23 . 5
52 = 22 . 13
=> BCNN(40,52) = 23 . 5 . 13 = 520
b) Có 42 = 2.3.7
70 = 2.5.7
180 = 22.32.5
=> BCNN (42,70,180) = 22.32.5.7 = 1260
c) Có 9 = 32
10 = 2.5
11 = 11
=> BCNN (9,10,11) = 32.2.5.11 = 990
a: \(42=2\cdot3\cdot7;70=2\cdot5\cdot7\)
=>\(BCNN\left(42;70\right)=2\cdot3\cdot5\cdot7=210\)
=>\(BC\left(42;70\right)=B\left(210\right)=\left\{0;210;420;...\right\}\)
b: \(70=2\cdot5\cdot7;180=3^2\cdot5\cdot2^2\)
=>\(BCNN\left(70;180\right)=2^2\cdot3^2\cdot5\cdot7=1260\)
=>\(BC\left(70;180\right)=\left\{1260;2520;...\right\}\)
c: \(5=5;7=7;8=2^3\)
=>\(BCNN\left(5;7;8\right)=5\cdot7\cdot8=280\)
=>\(BC\left(5;7;8\right)=\left\{280;560;...\right\}\)
d: \(12=2^2\cdot3;18=3^2\cdot2\)
=>\(BCNN\left(12;18\right)=2^2\cdot3^2=36\)
=>\(BC\left(12;18\right)=\left\{36;72;...\right\}\)
e: \(15=3\cdot5;18=3^2\cdot2\)
=>\(BCNN\left(15;18\right)=3^2\cdot2\cdot5=90\)
=>\(BC\left(15;18\right)=\left\{90;180;...\right\}\)
f: \(84=2^2\cdot3\cdot7;108=3^3\cdot2^2\)
=>\(BCNN\left(84;108\right)=2^2\cdot3^3\cdot7=756\)
=>\(BC\left(84;108\right)=\left\{756;1512;...\right\}\)
j: \(33=3\cdot11;44=2^2\cdot11;55=5\cdot11\)
=>\(BCNN\left(33;44;55\right)=3\cdot2^2\cdot5\cdot11=660\)
=>\(BC\left(33;44;55\right)=\left\{660;1320;...\right\}\)
g: \(1=1;12=2^2\cdot3;27=3^3\)
=>\(BCNN\left(1;12;27\right)=1\cdot2^2\cdot3^3=108\)
=>\(BC\left(1;12;27\right)=\left\{108;216;...\right\}\)
n: \(5=5;9=3^2;11=11\)
=>\(BCNN\left(5;9;11\right)=5\cdot3^2\cdot11=495\)
=>\(BC\left(5;9;11\right)=\left\{495;990;...\right\}\)
42 = 2.3.7
70 = 2.5.7
180 = 22.32.5
BCNN(42,70,180) = 22.32.5.7 = 1260
84=2^2.3.7
180=2^2.3^2.5
=>BCNN(84;180)=2^2.3^2.5.7=1260
=>BC(84;180)=B(1260)={0;1260;2520;3780;..}
320 = 26 . 5
180 = 22 . 32 . 5
=> \(ƯCLN\left(320;180\right)=2^2.5=20\)
\(\Rightarrow BCNN\left(320;180\right)=2^6.3^2.5=2880\)
\(\RightarrowƯC\left(320;180\right)=\left\{2;5\right\}\)
\(\Rightarrow BC\left(320;180\right)=\left\{0;2880;5760;8640;...\right\}\)
320 = 26. 5 320 = 26. 5
180 = 22. 32. 5 180 = 22. 32. 5
ƯCLN(320;180) = 22. 5 = 20 BCNN(320;180) = 26. 32. 5 = 2560
ƯC(320;180) = ( 1;2;4;5;10;20 ) BC(320;180) =( 0;2560;5120;... )
Gọi a=60 :a'
Gọi b=60:b'
Ta có:
60 :a' . 60:b' =180
60.(a'.b')=180
a'.b'=180:60
a'.b' = 3
mà BCNN=60
=> a,b thuộc ƯC(60)
a,b=4,2,3,5,15,12,20,10,60
mà a.b=60
=>a=
Đáp án là:
a = 3 ; b = 60.
a = 12 ; b = 15.
a = 15 ; b = 12.
a = 60 ; b = 3.
1. a) Tìm BCNN của 24: 80 và 120
Ta có: 24 = 23.3
80=24.5
120=23.3.5
=> BCNN(24,80,120)=24.3.5=240
b) Tìm ƯCLN của 72: 120 và 180
Ta có: 72=23.32
120=23.3.5
180=22.32.5
=> ƯCLN(72,120,180)=22.3=12
1a)
24 = 23.3
80 = 24.5
120 = 23.3.5
=> BCNN(24;80;120) = 24.3.5= 240
b)
72 = 23.32
120 = 23.3.5
180 = 22.32.5
=> UCLN(72;120;180) = 22.3.5 = 12
2
70 = 2.5.7
180 = 2^2 .3^2 .5
BCNN (70, 180) = 2^2 .5 = 20