Question

find two numbers whose difference is 66 and LCM is 360​

Answer 1

Answer:

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Step-by-step explanation:

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Let the two numbers be x and x+66. Since the LCM is 360, there must a 5 and a 2 and a 3, as theprime factors of the two numbers. One pair is

24 and 90

24 = 2x2x2x3

90 = 2x3x3x5

The LCM = 2x2x2x3x3x5 = 360

So the numbers are 24 and 90.

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