Question

Find the LCM 72 ,216, 270

Answer 1

Answer:  1080

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Explanation:

Write out the prime factorization of each value. A factor tree may help.

• 72 = 2^3*3^2
• 216 = 2^3*3^3
• 270 = 2*3^2*5

The unique primes that show up are: 2, 3, 5

• For the prime factor 2, the highest exponent is 3. So 2^3 is a factor of the LCM.
• For the prime factor 3, the highest exponent is 3. So 3^3 is a factor of the LCM.
• For the prime factor 5, the highest exponent is 1. So 5^1 is a factor of the LCM

The LCM is 2^3*3^3*5^1 = 8*27*5 = 1080

Answer 2

Answer:

1080

Step-by-step explanation:

72 = 2 × 2 × 2 × 3 × 3

216 = 2 × 2 × 2 × 3 × 3 × 3

270 = 2 × 3 × 3 × 3 × 5

LCM(72, 216, 270)

= 2 × 2 × 2 × 3 × 3 × 3 × 5

= 1080