Question

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

Answer 1

Hi ,

We have to find out LCM of 2 , 3 , 4,

5 , 6 , 7 , 8 , 9 , 10

2 | 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 ,10
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2 | 1 , 3 , 2 , 5 , 3 , 7 , 4 , 9 , 5
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2 | 1 , 3 , 1 , 5 , 3 , 7 , 2 , 9 , 5
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3 | 1 , 1 , 1 , 5 , 1 , 7 , 2 , 3 , 5
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5 | 1 , 1 , 1 , 1 , 1 , 7 , 2 , 3 , 1

LCM = 2 × 2 × 3 × 5 × 7 × 2 × 3

= 2520

Therefore ,

Required least number which

divisible by given all Numbers


is 2520.

I hope this helps you.

: )