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Q.

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

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a

2500

b

2520

c

2530

d

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⇒LCM=2×2×2×3×3×5×7
⇒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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Find the least number that is divisible by all the numbers between 1 and 10 (both inclusive).