Which of the following options is equal to the LCM of 12, 36, 72, 144, 288 and 576?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 576.
Prime Factorization
12 = 2² × 3
36 = 2² × 3²
72 = 2³ × 3²
144 = 2⁴ × 3²
288 = 2⁵ × 3²
576 = 2⁶ × 3²
Highest power of 2 = 2⁶
Highest power of 3 = 3²
LCM = 2⁶ × 3² = 64 × 9 = 576