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

Solution(By Examveda Team)

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