The LCM of three different numbers is 120. Which of the following cannot be their HCF?
The LCM of three different numbers is 120. Which of the following cannot be their HCF?
तीन अलग-अलग संख्याओं का LCM 120 है। निम्नलिखित में से कौन उनका HCF नहीं हो सकता है?
Detailed Solution & Logic
Correct Answer:
35
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
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