Question 9 The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
A) 10 B) 100 C) 504 D) 2520
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Solution
The answer is D. Factors of the numbers from 1 to 10, 1=1 2=1×2 3=1×3 4=1×2×2 5=1×5 6=1×2×3 7=1×7 8=1×2×2×2 9=1×3×3 10=1×2×5 LCM of all the numbers from 1 to 10 = LCM (1, 2, 3, 4, 5, 6, 7, 8, 9, 10) =1×2×2×2×3×3×5×7=2520