Answer:
51
Step-by-step explanation:1. What is the LCM of 3 and 17?
Answer: LCM of 3 and 17 is 51.
2. What are the Factors of 3?
Answer: Factors of 3 are 1, 3. There are 2 integers that are factors of 3. The greatest factor of 3 is 3.
3. What are the Factors of 17?
Answer: Factors of 17 are 1, 17. There are 2 integers that are factors of 17. The greatest factor of 17 is 17.
4. How to Find the LCM of 3 and 17?
Answer:
Least Common Multiple of 3 and 17 = 51
Step 1: Find the prime factorization of 3
3 = 3
Step 2: Find the prime factorization of 17
17 = 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51 = 3 x 17
Step 4: Therefore, the least common multiple of 3 and 17 is 51.
