The LCM of three different numbers is 120. Which of the following cannot be their HCF?

Answer: Option D

LCM = 120 (given)
LCM is the product of one common factor and other different factors of the given numbers.
∴ Factorize the given LCM = 120
$$\frac{\text{2}\times \text{2}\times \text{3}\times \text{5}\times \text{2}}{4\left(3\times 5\times 2\right)}$$
= Here 4 is common factor (common factor is the HCF of the given number)
∴ HCF = 4
So, for the given numbers the HCF should be multiple of 4
⇒ Hence go through options which is not a multiple of 4 is 35
Hence answer is 35