The L.C.M of 12, 20, 24, 32 is?
- 240
- 480
- 360
- None of these
Explanation
To find the L.C.M. of 12, 20, 24, and 32, we follow prime factorization:
12 = 2² × 3
20 = 2² × 5
24 = 2³ × 3
32 = 2⁵
Take the highest powers of all prime factors:
2⁵ (from 32)
3 (from 12 or 24)
5 (from 20)
Now multiply:
2⁵ × 3 × 5 = 32 × 3 × 5 = 96 × 5 = 480
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