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Q.

The $H .C .F$ of $60$ and $72$ is $12$ then their $L .C .M$ is

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a

360

b

2^{3} \times 3^{2} \times 5

c

270

d

2^{4} \times 3^{4} \times 5^{2}

answer is B.

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Detailed Solution

Product of two numbers

= L . C . M \times H . C . F

$60 \times 72 = 12 \times L . C . M$

$L .C .M = \frac{60 \times 72}{12} = 360$

Standard form of $360 = 2^{3} \times 3^{2} \times 5$

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