Mathematics — Standard (041) — CBSE Class 10 board question

Option A: 960

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

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 = $2^6 \times 3 \times 5 = 960$.