Question

If a = 3 × 5, b = 3 × 52 and c = 25 × 5, then LCM (a, b, c) and HCF (a, b, c) are (a) 1200, 5 (b) 2400, 5 (c) 2400, 15 (d) 1200, 15​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If a = 3 × 5, b = 3 × 5² and $\sf \: c = {2}^{5} \times 5$ , then LCM (a, b, c) and HCF (a, b, c) are

(a) 1200, 5

(b) 2400, 5

(c) 2400, 15

(d) 1200, 15

EVALUATION

Here it is given that

a = 3 × 5, b = 3 × 5² and $\sf \: c = {2}^{5} \times 5$

Now

a = 3 × 5

b = 3 × 5² = 3 × 5 × 5

$\sf \: c = {2}^{5} \times 5$

LCM (a, b, c)

$\sf \:= 3 \times {5}^{2} \times {2}^{5}$

$\sf \:= 3 \times 25 \times 32$

$= 2400$

HCF (a, b, c) = 5

FINAL ANSWER

Hence the correct option is (b) 2400, 5

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