Question

using fundamental theorem of arithmetic , find HCF and LCM of 30,72,432​

Answer 1

Answer:

30 = 2 × 3 × 5

72 = 2 × 2 × 2 × 3 × 3 = 23 × 32

432 = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 24 × 33

HCF = product of smallest power of common prime factor in the number

= 2 × 3 = 6

LCM = protect of greatest power of each prime factor involves in the number

= 24 × 33 × 5 = 2160.