Question

LCM of 128 and 48
HCF of 256 , 96
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Answer 1

Answer:

Least common multiple (LCM) of 48 and 128 is 384.

The product of two numbers is 35,828 and their HCF is 26.

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Answer 2

Answer:

1) 384

2) 32

Step-by-step explanation:

1)  Least common multiple (LCM) of 48 and 128 is 384

Steps to find LCM

1) Find the prime factorization of 48

48 = 2 × 2 × 2 × 2 × 3

2) Find the prime factorization of 128

128 = 2 × 2 × 2 × 2 × 2 × 2 × 2

3) Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

4)LCM = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3

LCM = 384

HCF of 256 , 96

The product of two numbers is 35,828 and their HCF is 26.

Steps to find HCF

1) Find the prime factorization of 96

96 = 2 × 2 × 2 × 2 × 2 × 3

2) Find the prime factorization of 256

256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

3) To find the HCF, multiply all the prime factors common to both numbers:

4) Therefore, HCF = 2 × 2 × 2 × 2 × 2

HCF = 32

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