How do you find the LCM of 3 and 7?
21
reason for this is:
multiples of 3 : 3,6,9,12,15,18,21,24,27
multiples of 7 : 7,14,21,28
multiple that is the lowest that both 3 and 7 have is the lowest common multiple (LCM)
To find the least common multiple (LCM) of two numbers, such as 3 and 7, you can use a few different methods. Here's one approach using prime factorization:
Step 1: Prime factorize both numbers.
- The prime factorization of 3 is 3.
- The prime factorization of 7 is 7.
Step 2: Identify the highest power of each prime factor.
- In this case, both numbers have only one prime factor, so the highest power is 1 for each factor.
Step 3: Multiply the highest powers of the prime factors together.
- The LCM is the product of the highest powers of the prime factors.
- In this case, 3^1 * 7^1 = 3 * 7 = 21.
Therefore, the LCM of 3 and 7 is 21.