Find the lowest common multiple of $$60, $$330, and $$150.

Sure, here are the steps to find the lowest common multiple (LCM) of 60, 330, and 150:

Step 1: Prime factorize the numbers.

• Prime factors of 60 are 2, 2, 3, 5 (223*5 = 60)
• Prime factors of 330 are 2, 3, 5, 11 (235*11 = 330)
• Prime factors of 150 are 2, 3, 5, 5 (235*5 = 150)

Step 2: Find the highest power of each prime number in the factorizations.

• The highest power of 2 is 2 (from 60)
• The highest power of 3 is 1 (from all)
• The highest power of 5 is 2 (from 150)
• The highest power of 11 is 1 (from 330)

Step 3: Multiply these highest powers together.

• 2^2 * 3^1 * 5^2 * 11^1 = 4 * 3 * 25 * 11 = 3300

So, the lowest common multiple of 60, 330, and 150 is 3300.