Question

Find the least common multiple. 84, 36, and 15

Answer 1

2520

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To find the least common multiple (LCM) of 84, 36, and 15, we can follow a step-by-step process.

Step 1: Prime factorize each number.

• 84 = 2 x 2 x 3 x 7
• 36 = 2 x 2 x 3 x 3
• 15 = 3 x 5

Step 2: Write down all the unique prime factors and their highest powers.

• 2 x 2 x 3 x 3 x 5 x 7

Step 3: Multiply the prime factors together to find the LCM.

• 2 x 2 x 3 x 3 x 5 x 7 = 2520

Therefore, the LCM of 84, 36, and 15 is 2520.