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Question

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


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

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