Find the least number that is divisible by all the numbers between 2 and 10 , both inclusive.
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The least number divisible by is 2520
AkanshSaini:
I didn't got the concept of taking the LCM!
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The least number divisible by all the numbers from 2 to 10 will be the LCM of these numbers.
We have,
2 = 2 × 1
3 = 3 × 1
4 = 2 × 2
5 = 5 × 1
6 = 2 × 3
7 = 7 × 1
8 = 2 × 2 × 2
9 = 3 × 3
10 = 2 × 5
So, LCM of these numbers = 1 × 2 × 2 × 2 × 3 × 3 × 5 × 7 = 2520
Hence, least number divisible by all the numbers from 1 to 10 is 2520
We have,
2 = 2 × 1
3 = 3 × 1
4 = 2 × 2
5 = 5 × 1
6 = 2 × 3
7 = 7 × 1
8 = 2 × 2 × 2
9 = 3 × 3
10 = 2 × 5
So, LCM of these numbers = 1 × 2 × 2 × 2 × 3 × 3 × 5 × 7 = 2520
Hence, least number divisible by all the numbers from 1 to 10 is 2520
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