Question

LCM n hcf 162 n 9 respectively peim

Answer 1

ANSWER: HCF OF 162 AND 9

162 = 2 × 3 × 3 × 3 × 3

9 = 3 × 3

The HCF of two or more numbers is the product of the prime factors common to all the numbers.

Therefore, HCF = (3 × 3) = 9

LCM OF 162 AND 9

The prime factorization of 162 and 9 are:

The prime factorization of 162 and 9 are:162 = 2 × 3 × 3 × 3 × 3

The prime factorization of 162 and 9 are:162 = 2 × 3 × 3 × 3 × 39 = 3 × 3

The prime factorization of 162 and 9 are:162 = 2 × 3 × 3 × 3 × 39 = 3 × 3The LCM of two or more numbers is the product of the prime factors counted the maximum number of times they occur in any of the numbers.

The prime factorization of 162 and 9 are:162 = 2 × 3 × 3 × 3 × 39 = 3 × 3The LCM of two or more numbers is the product of the prime factors counted the maximum number of times they occur in any of the numbers.Therefore, required LCM = 2 × (3 × 3 × 3 × 3) = 162

Step-by-step explanation:

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