Asked by april jay

The LCM of 12, 18 and x is 468. What is the smallest and the largest value of x?
Answered by oobleck
LCM(12,18) = 36
468 = 36*13
so, LCM(12,18,13) = 468
also, since 12 = 2^2*3 and 18 = 2*3^2
468 is the LCM of 12,18 and
26 = 2*13
39 = 3*13
52 = 2^2*13
78 = 2*3*13
117 = 3^2*13
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