The LCM of the numbers 5, 3.2, and 0.03 is:

Concept: The LCM of fractions is found with the rule LCM = LCM(numerators) / HCF(denominators). This rule is valid only when each fraction is written in its lowest terms; using an unreduced fraction breaks it. A clean way to avoid that trap is to give every number the same denominator first.

Application: Write each value over the common denominator 100:

• 5 = 500/100

• 3.2 = 320/100

• 0.03 = 3/100

With a common denominator the rule applies directly:

1. LCM of numerators: LCM(500, 320, 3) = 24000

2. HCF of denominators: HCF(100, 100, 100) = 100

3. Divide: 24000 / 100 = 240

Cross-check: 240 is divisible by all three values — 240/5 = 48, 240/3.2 = 75, 240/0.03 = 8000 — and no smaller positive value works, so 240 is the least common multiple.

Common pitfall: If you instead take 3.2 as 32/10 and apply LCM(5, 32, 3) / HCF(1, 10, 100), you get 480. That is wrong because 32/10 is not in lowest terms (it reduces to 16/5); the fraction rule only holds for reduced fractions. In lowest terms it is LCM(5, 16, 3) / HCF(1, 5, 100) = 240 / 1 = 240, which agrees.

Answer: 240