Find the HCF and LCM of 90 and 144 by prime factorisation method. Options: A . &nbsp 18 and 720 B . &nbsp 720 and 18 C . &nbsp 360 and 180 D . &nbsp 180 and 720

Answer: Option A : A Prime factorisation of 90 and 144: 90 = 2 × 3 × 3 × 5 144 = 2 × 2 × 2 × 2 × 3 × 3 ⇒ HCF = 2 × 3 2 = 18 LCM = 2 4 × 3 2 × 5 = 720 ∴ HCF and LCM of 90 and 144 are 18 and 720 respectively.

Find the HCF and LCM of 90 and 144 by prime factorisation method.

Question

Find the HCF and LCM of 90 and 144 by prime factorisation method.

Options:

A . 18 and 720

B . 720 and 18

C . 360 and 180

D . 180 and 720

Answer: Option A
:
A
Prime factorisation of 90 and 144:

90 = 2 \times 3 \times 3 \times 5

144 = 2 \times 2 \times 2 \times 2 \times 3 \times 3

\Rightarrow HCF = 2 \times 3^{2} = 18

LCM = 2^{4} \times 3^{2} \times 5 = 720

∴

HCF and LCM of 90 and 144 are 18 and 720 respectively.

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