Suppose the product of two positive integers is 3.53.72 and their greatest common divisor is 3.52, what is their least common multiple?Select one:a.None of theseb.5.72c.3.52d.3.53.72
Question
Suppose the product of two positive integers is 3.53.72 and their greatest common divisor is 3.52, what is their least common multiple?Select one:a.None of theseb.5.72c.3.52d.3.53.72
Solution
The product of two numbers is equal to the product of their greatest common divisor (GCD) and least common multiple (LCM). This can be expressed as:
Product of numbers = GCD * LCM
Given that the product of the two numbers is 3.53.72 and their GCD is 3.52, we can substitute these values into the equation to find the LCM:
3.53.72 = 3.52 * LCM
To solve for LCM, divide both sides of the equation by 3.52:
LCM = 3.53.72 / 3.52
Therefore, the least common multiple of the two numbers is 3.53.72 / 3.52.
However, the options provided do not include this value, so the correct answer is:
a. None of these
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