Question

find the HCF and LCM of 6 72 and 120 using prime factorization method

Answer 1

See the attachments for your answers

Answer 2

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Here we have :-

6 = 2 × 3

72 => 2 × 2 × 2 × 3 × 3 = 2³ × 3²

120 => 2 × 2 × 2 × 3 × 5 = 2³ × 3¹ × 5¹

HCF(6,72,120) => 2¹ × 3¹ = 6

LCM(6,72,120) => 2³ × 3² × 5¹ = 360