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

HCF of numbers always divides the LCM.

Given LCM $= 120$

Prime factorization:

$120 = 2^3 \times 3 \times 5$

Now check options:

• $8$ → divides $120$ ✔
• $12$ → divides $120$ ✔
• $24$ → divides $120$ ✔
• $35$ → does not divide $120$ ✖

So, $35$ cannot be their HCF.

Correct Answer: 35