Answer:To find the least common multiple (LCM) of 30 and 7, we follow these steps:
Step-by-step explanation:Prime factorization:
30 = 2 × 3 × 5
7 is a prime number, so its prime factorization is 7.
Identify the highest powers of all prime numbers that appear in the factorizations:
The primes involved are 2, 3, 5, and 7.
Multiply these highest powers together:
LCM = 2^1 × 3^1 × 5^1 × 7^1
Calculate the product:
LCM = 2 × 3 × 5 × 7 = 210
So, the LCM of 30 and 7 is 210.