Calcula haciendo uso de la descomposición en factores primos, sólo de ese
método
a) mcm( 18, 24 ) = b) mcm ( 24, 54 ) =
c) mcm ( 8,6,32) = d) mcm(256, 512)=
Respuestas a la pregunta
Respuesta:
mcm (18,24) = 2³.3² = 8.9 = 72
mcm ( 24, 54 ) = 2³.3³ = 3.27 = 81
mcm ( 8, 6, 32) = 96
mcm (256, 512) = 2⁹ = 512
Explicación paso a paso:
a) mcm( 18, 24 ) =
18/2 24/2
9/3 12/2
3/3 6/2
1 3/3
1
18 = 2.3² y 24 = 2³.3
mcm (18,24) = 2³.3² = 8.9 = 72
b) mcm ( 24, 54 ) =
24/2 54/2
12/2 27/3
6/2 9/3
3/3 3/3
1 1
24 = 2³.3 y 54 = 2. 3³
mcm ( 24, 54 ) = 2³.3³ = 3.27 = 81
c) mcm ( 8,6,32) =
8/2 6/2 32/2
4/2 3/3 16/2
2/2 1 8/2
4/2
2/2
1
8 = 2³ 6 = 2.3 32 = 2⁵
mcm ( 8, 6, 32) = 2⁵.3
= 32.3
= 96
d) mcm(256, 512)=
256/2 512/2
128/2 256/2
64/2 128/2
32/2 64/2
16/2 32/2
8/2 16/2
4/2 8/2
2/2 4/2
1 2/2
1
256 = 2⁸ y 512 = 2⁹
mcm (256, 512) = 2⁹ = 512