Find the LCM 72 ,216, 270
2 answers:
<h3>
Answer: 1080</h3>
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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:
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
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Using JAVA:
int sum = 0;
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while(sum <= 2000) {
sum += 3*k*k;
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}
System.out.println(k);
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