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Q: The least number that is divisible by all the numbers from 2 to 10 is–
  • A. 2520
  • B. 100
  • C. 504
  • D. 9
Correct Answer: Option A - Required number = LCM of 2, 3, 4, 5, 6, 7, 8, 9, 10 = 2, 3, (2×2), 5, (2×3), 7, (2×2×2), (3×3)×(2×5) = 2×2×2×3×3×5×7 = 2520
A. Required number = LCM of 2, 3, 4, 5, 6, 7, 8, 9, 10 = 2, 3, (2×2), 5, (2×3), 7, (2×2×2), (3×3)×(2×5) = 2×2×2×3×3×5×7 = 2520

Explanations:

Required number = LCM of 2, 3, 4, 5, 6, 7, 8, 9, 10 = 2, 3, (2×2), 5, (2×3), 7, (2×2×2), (3×3)×(2×5) = 2×2×2×3×3×5×7 = 2520