Find the LCM of 3, 7 and 12.

Sure, here are the steps to find the Least Common Multiple (LCM) of 3, 7, and 12:

Step 1: Write down the numbers: 3, 7, 12

Step 2: Find the prime factors of each number:

• The prime factors of 3 are: 3
• The prime factors of 7 are: 7
• The prime factors of 12 are: 2, 2, 3

Step 3: For each prime number, count the maximum number of times it appears in any of the prime factorizations.

• The prime number 2 appears twice in the prime factorization of 12, which is the maximum number of times it appears in any of the prime factorizations.
• The prime number 3 appears once in the prime factorization of 3 and 12, which is the maximum number of times it appears in any of the prime factorizations.
• The prime number 7 appears once in the prime factorization of 7, which is the maximum number of times it appears in any of the prime factorizations.

Step 4: Multiply these maximum counts of prime factors together to get the LCM:

• LCM = 223*7 = 84

So, the LCM of 3, 7, and 12 is 84.