What is the common multiple (LCM) of 5, 6,and 2?

Here are the multiples of 6.

6, 12, 18, 24, 30, 36, 42, 48

Which of those is also divisible by 5 and 2?

Remember that multiples of 5 end in either 5 or 0.
Multiples of 2 are even numbers.

30

Right.

To find the least common multiple (LCM) of 5, 6, and 2, we can use a method called prime factorization.

First, let's find the prime factors of each number:

5 = 5
6 = 2 × 3
2 = 2

Next, we write down all the prime factors with their highest powers:

5 = 5^1
6 = 2^1 × 3^1
2 = 2^1

Now, we take the highest power of each prime factor:

2^1 × 3^1 × 5^1

Finally, we multiply these numbers together to find the LCM:

2 × 3 × 5 = 30

Therefore, the LCM of 5, 6, and 2 is 30.