fi:w find the l.C.m. of 18,24 , and 30

To find the least common multiple (LCM) of 18, 24, and 30, start by determining the prime factorization of each number: - 18 = 2 × 3² - 24 = 2³ × 3 - 30 = 2 × 3 × 5 Next, take the highest power of each prime number appearing in any of the factorizations: - For 2: the highest power is 2³ from 24 - For 3: the highest power is 3² from 18 - For 5: the highest power is 5 from 30 Now, multiply these together: LCM = 2³ × 3² × 5 = 8 × 9 × 5 = 360. So, the LCM of 18, 24, and 30 is 360! When working with LCMs, remember to double-check your prime factorizations! It's easy to mix up the bases or exponents, leading to incorrect results. Listing out the factorization gives you a clear view, and from there, it's just a matter of identifying the max powers. Keep in mind, for smaller sets of numbers, listing out the multiples can also be a quick check!