Question

Tell the HCF and LCM of 120 and 288.

Answer 1

Answer:

Steps to find LCM

Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

Find the prime factorization of 288

288 = 2 × 2 × 2 × 2 × 2 × 3 × 3

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

LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5

LCM = 1440

Steps to find HCF

Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

Find the prime factorization of 288

288 = 2 × 2 × 2 × 2 × 2 × 3 × 3

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 2 × 2 × 3

HCF = 24

Answer 2

Answer:

288 = 2*2*2*2*2*3*3

120 = 2*2*2*3*5

HCF = 2*2*2*3

= 24

LCM = 2*2*2*2*2*3*3*5

= 1440

Hope it helps.

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