Question
The prime factor trees for 210 and 357 are shown below. Use the prime factor trees to find the lowest common multiple (LCM) of 210 and 357.
Answer
4.5
(320 Votes)
Zaid
Professional · Tutor for 6 years
Answer
3570
Explanation
1. To find the lowest common multiple (LCM) of two numbers using their prime factorizations, we first need to identify the prime factors of each number.2. The prime factorization of 210 is
.3. The prime factorization of 357 is
.4. To find the LCM, we take the highest power of each prime factor that appears in either number. In this case, the prime factors are 2, 3, 5, 7, and 17.5. The LCM is then calculated as
.6. Therefore, the LCM of 210 and 357 is 3570.