Find the lowest common multiple (LCM) of 20, 30 and 45

Sure, here are the steps to find the lowest common multiple (LCM) of 20, 30, and 45:

Step 1: Prime factorize the numbers.

• 20 = 2^2 * 5
• 30 = 2 * 3 * 5
• 45 = 3^2 * 5

Step 2: For each prime number, take the highest power that appears in the factorization of each number.

• For 2, the highest power is 2 (from 20), so we have 2^2.
• For 3, the highest power is 2 (from 45), so we have 3^2.
• For 5, the highest power is 1 (from all numbers), so we have 5.

Step 3: Multiply these numbers together.

• 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180

So, the LCM of 20, 30, and 45 is 180.

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