Question

Find the HCF of 135 and 75 by the prime factorisation, hence find the LCM
and HCF of ( 135, 75 ) and 20.

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Answer 1

Answer:

$135 = 3 \times 3 \times 3 \times 5 \\ 75 = 3 \times 5 \times 5 \\ hcf = 3 \times 5 = 15 \\ lcm = 3 \times 3 \times 3 \times 5 \times 5 = 675$

and then with 20

$135 = 3 \times 3 \times 3 \times 5 \\ 75 = 3 \times 5 \times 5 \\ 20 = 2 \times 2 \times 5 \\ hcf = 5 \\ lcm = 2 \times 2 \times 3 \times 3 \times 3 \times 5 \times 5 \\ 2700is \: answer$

Answer 2

HCF of 135 and 75 is 15 and LCM is 675.

HCF of 135, 75 and 20 is 5 and LCM is 2700

Step-by-step explanation:

HCF of 135 and 75 by prime factorization :

135  =  5 × 3 × 3 × 3

75   =  5 × 5 × 3

Common factors = 5 × 3

HCF = 15

LCM of 135 and 75 :

prime factors of 135 and 75 =  3 × 3 × 3 × 5 × 5

LCM = 675

Now HCF of 135, 75 and 20 by prime factorization :

135  =  5 × 3 × 3 × 3

75   =  5 × 5 × 3

20 =   2 × 2 × 5

Common factor = 5

HCF = 5

LCM of 135, 75 and 20

LCM = 2 × 2 × 3 × 3 × 3 × 5 × 5

LCM  = 2700

HCF of 135 and 75 is 15 and LCM is 675

HCF of 135, 75 and 20 is 5 and LCM is 2700

Learn more about HCF and LCM : https://brainly.in/question/3296725