Respuesta:
1)
792 = 2^3*3^2*11792=23∗32∗11
600 = 2^3*3*5^2600=23∗3∗52
1089 = 3^2 * 11^21089=32∗112
4410 = 2*3^2*5*7^24410=2∗32∗5∗72
2)
165 = 3^1*5^1*11^1165=31∗51∗111
720=2^4*3^2*5720=24∗32∗5
390=2^1*3^1*5^1*13^1390=21∗31∗51∗131
297=3^3*11^1297=33∗111
3025=5^2*11^23025=52∗112
3)
A)
108 = 2^2*3^3108=22∗33
180 = 2^2*3^2*5180=22∗32∗5
392=2^3*7^2392=23∗72
dcm(108,180,392)= 2^2 = 4dcm(108,180,392)=22=4
mcm(108,180,392) = 52920mcm(108,180,392)=52920
dcm(108,180,392) = dcm( dcm( 108,180), 392) = 4dcm(108,180,392)=dcm(dcm(108,180),392)=4
B)
20 = 2^2*520=22∗5
200 = 2^3*5^2200=23∗52
2000=2^4*5^32000=24∗53
mcm(20, 200, 2000) = 2000mcm(20,200,2000)=2000
dcm(20, 200, 2000)=20dcm(20,200,2000)=20
C)
60=2^2*3*560=22∗3∗5
36=2^2*3^236=22∗32
65=5*1365=5∗13
mcm(60,36,65)=2340mcm(60,36,65)=2340
dcm(60,36,65)=1dcm(60,36,65)=1
ECPLICACION:
ESPERO TE AYUDE ; )
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Verified answer
Respuesta:
1)
792 = 2^3*3^2*11792=23∗32∗11
600 = 2^3*3*5^2600=23∗3∗52
1089 = 3^2 * 11^21089=32∗112
4410 = 2*3^2*5*7^24410=2∗32∗5∗72
2)
165 = 3^1*5^1*11^1165=31∗51∗111
720=2^4*3^2*5720=24∗32∗5
390=2^1*3^1*5^1*13^1390=21∗31∗51∗131
297=3^3*11^1297=33∗111
3025=5^2*11^23025=52∗112
3)
A)
108 = 2^2*3^3108=22∗33
180 = 2^2*3^2*5180=22∗32∗5
392=2^3*7^2392=23∗72
dcm(108,180,392)= 2^2 = 4dcm(108,180,392)=22=4
mcm(108,180,392) = 52920mcm(108,180,392)=52920
dcm(108,180,392) = dcm( dcm( 108,180), 392) = 4dcm(108,180,392)=dcm(dcm(108,180),392)=4
B)
20 = 2^2*520=22∗5
200 = 2^3*5^2200=23∗52
2000=2^4*5^32000=24∗53
mcm(20, 200, 2000) = 2000mcm(20,200,2000)=2000
dcm(20, 200, 2000)=20dcm(20,200,2000)=20
C)
60=2^2*3*560=22∗3∗5
36=2^2*3^236=22∗32
65=5*1365=5∗13
mcm(60,36,65)=2340mcm(60,36,65)=2340
dcm(60,36,65)=1dcm(60,36,65)=1
ECPLICACION:
ESPERO TE AYUDE ; )