Find the smallest number divisible by numbers 2 to 9 (both inclusive) .

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1120

2520

3240

7650

answer is B.

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Detailed Solution

Given,
The numbers are 2 to 9.
The numbers which lie between 2 to 9 are 3,4,5,6,7,8.
Numbers 2, 3, 5, 7 are prime numbers.

4 = 2 \times 2

6 = 2 \times 3

8 = 2 \times 2 \times 2

9 = 3 \times 3

As the LCM is least common multiple.
LCM of the numbers are,

⇒ L C M = 23 × 32 × 5 × 7

⇒ L C M = 8 × 9 × 35

⇒ L C M = 2520

Thus, the smallest number divisible by numbers 2 to 9 (both inclusive) is 2520.
Therefore, option(2) is correct answer.

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