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Find the least natural number that is divisible by three different primes.
To find the least natural number that is divisible by three different primes, we need to find the LCM of the set of the three smallest prime numbers.
Answer: The least natural number that is divisible by three different primes is 30
The three smallest prime numbers are 2, 3, and 5.
Explanation:
Let us find the LCM of these three numbers using the prime factorization method.
Since 2,3,5 are prime numbers, their factors will be 2, 3, 5 respectively.
So, the LCM (2, 3, 5) = 2 × 3 × 5 = 30
Hence, the least natural number that is divisible by three different primes is 30.
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