If x is a positive integer, what is the least common multiple of x, 6, 9? (1) the least common multiple of x and 6 is 30 (2) the least common multiple of x and 9 is 45
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The LCM of x and 6 is 30
It means that the value of x is 30÷6 = 5
Again, the LCM of x and 9 is 45
It means that the value of x is 45÷9 = 5
Therefore from the above statement it is clear that the value of x is 5
Hence the LCM of x, 6, 9 = 5, 6, 9
= 90 (ans)
Therefore, the LCM of 5, 6 and 9 is 90.
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