The LCM of the numbers 6.3 and 0.07 is:

Convert decimals into fractions:

$6.3 = \frac{63}{10}, \quad 0.07 = \frac{7}{100}$

LCM of fractions:
$LCM = \frac{LCM\ of\ numerators}{HCF\ of\ denominators}$

Numerators: 63 and 7 ⇒ $LCM = 63$
Denominators: 10 and 100 ⇒ $HCF = 10$

So,
$LCM = \frac{63}{10} = 6.3$

Correct Answer: 6.3