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Q: What are the two consecutive even numbers whose LCM is 180?

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58, 60 and 62.

The two consecutive even numbers are 180 and 182.

Since they are consecutive even numbers, once you pick x to be the first number, the next even number is x + 2, and then x + 4. x + (x+2) + (x+ 4) = 180 3x + 6 = 180 3x = 174 x = 58 x+2 = 60 x+4 = 62

The numbers are 32, 34, 36, 38 and 40.

The prime factorization of 180 is 2x2x3x3x5. Six consecutive prime numbers do not exist in its factorization.

The numbers are 59, 60 and 61.

Let N be the first even number, then N + N + 2 + N + 4 = 180 That is 3N + 6 = 180 or 3N = 174, therefore N = 58 and the three consecutive even number are 58, 60, and 62. Verification: 58 + 60 + 62 = 180

180/3 = 60 so the three are 58, 60 and 62

The numbers are 59, 60 and 61. Also, 58, 60 and 62.

90 and 180

The integers are 180, 182 and 184.

180

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