Find the least number that is divisible by all the numbers between 1 and 10 (both inclusive).

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2500

2520

2530

2540

answer is B.

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Detailed Solution

We have to find the least number that is divisible by all the numbers between 1 and 10 (both inclusive).
Prime factorization of numbers 1 to 10 (both inclusive) are as follows.
Question Image

\Rightarrow LCM = 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 7

\Rightarrow LCM = 2520

Therefore, the least number that is divisible by all the numbers between 1 to 10 (both inclusive) is 2520.
Hence, option 2 is correct.

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Best Online Course for CBSE