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Mathematics — CBSE Class 10 board question

Q1. [1]
The LCM of 960 and 240 is :
  1. A 960
  2. B 240
  3. C 60
  4. D 15
Previously asked in CBSE board exam
2026 30/2/1 Q1
Generated by claude-sonnet-4-6 · 2026-06-15 10:30 · grounding rag
Model Answer

Option A: 960

$960 = 2^6 \times 3 \times 5$ and $240 = 2^4 \times 3 \times 5$. LCM = $2^6 \times 3 \times 5 = 960$.

Explanation

Since 240 is a factor of 960 (960 = 4 × 240), the LCM is simply the larger number, 960. Alternatively, using prime factorisation, LCM = product of greatest powers of all prime factors = $2^6 \times 3 \times 5 = 960$.

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