5/6, 7/18, 5/9, 2/72
a. determine the lcd of the above by inspection. lcd by inspection
b. determine the lcd of the above by division of prime numbers. lcd by division of prime numbers

Respuesta :

a. LCD by inspection:
 Write the multiples and take a consideration to 72,
  6 = 0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 72, 78
 18 = 0, 18, 36, 54, 72, 90
 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81
 72 = 0, 72, 144,
 So if we observe the lowest common multiple is 72.
 b. LCD by division of prime numbers
 Write the factors of the denominators 6, 18, 9, 72
 6 = 2 x 3
 18 = 2 x 3 x 3
 9 = 3 x 3
 72 = 2 x 2 x 2 x 3 x 3
 The LCD = 2 x 2 x 2 x 3 x 3 = 72