What is the smallest natural number that is exactly divisible by each…
What is the smallest natural number that is exactly divisible by each of 96, 108, and 144?
96, 108 तथा 144 से पूर्णतः विभाजित होने वाली सबसे छोटी प्राकृतिक संख्या कौन-सी है?
Detailed Solution & Logic
Correct Answer:
864
Required number = LCM of 96, 108 and 144
96 = 2⁵ × 3
108 = 2² × 3³
144 = 2⁴ × 3²
LCM = 2⁵ × 3³ = 32 × 27 = **864**
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