How do you find the Least common multiple of 10, 3?

3 is a prime number and 3 is not a factor of 10. Therefore the LCM will be product of 3 and 10.

This can also be shown by writing the multiple of 10 (the bigger number, until one is found that is a multiple of 3.

The third multiple is also a multiple of 3.

To find the least common multiple (LCM) of 10 and 3, you can use the following steps:

1. Find the prime factorization of each number.

   • Prime factorization of 10: (10 = 2 \times 5)
   • Prime factorization of 3: (3 = 3)

2. Identify the highest power of each prime factor that appears in either factorization.

   • The highest power of 2 that appears is (2^1).
   • The highest power of 3 that appears is (3^1).
   • The highest power of 5 that appears is (5^1).

3. Multiply these highest powers together to get the LCM. (LCM = 2^1 \times 3^1 \times 5^1 = 2 \times 3 \times 5 = 30)

Therefore, the least common multiple of 10 and 3 is 30.