Question

Which two consecutive even numbers have an LCM of 60?​

Answer 1

Answer:

10 and 12

Step-by-step explanation:

10 multiplied by 6 = 60

12 multiplied by 5 = 60

Answer 2

10 and 12

Consider the factors of 60.

They are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.

Among these factors, 2 & 4 and 10 & 12 are set of two consecutive even numbers.

Again 2 & 4 have LCM 4.

And 10 & 12 have LCM 60.

Thus, two consecutive even numbers with LCM 60 are 10 and 12.

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