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Using Prime Factorization, Find the Hcf and Lcm Of 30, 72, 432 . - Mathematics

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 Using prime factorization, find the HCF and LCM of  30, 72, 432 .

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Solution

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 each common prime factor in the numbers
= 2 × 3 = 6
LCM = product of greatest power of each prime factor involved in the numbers
= 24 × 33 × 5 = 2160 

Concept: Euclid’s Division Lemma
  Is there an error in this question or solution?

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