To find the smallest number that is divisible by all prime numbers between 1 and 11, we need to find the least common multiple (LCM) of these numbers.
The prime numbers between 1 and 11 are: 2, 3, 5, 7, and 11.
To find the LCM of these numbers, we can use the method of successive division to find the prime factorization of each number:
2: Prime (2)
3: Prime (3)
5: Prime (5)
7: Prime (7)
11: Prime (11)
Since all these numbers are prime, their LCM will simply be the product of these numbers:
LCM = 2 * 3 * 5 * 7 * 11 = 2310.
Therefore, the smallest number that is divisible by all prime numbers between 1 and 11 is 2310.
Find the smallest number that is divisible by all prime numbers between 1 and 11.
1 answer
5 answers