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MioMath 2024 Paper 2 · Q6

Paper 2Algebra

For positive integers aa, bb and cc, define three least common multiples: L=lcm⁡(a,b)L=\lcm(a,b), M=lcm⁡(b,c)M=\lcm(b,c), and N=lcm⁡(a,c)N=\lcm(a,c). Which of these is not possible?

AL<M<NL<M<N
BL<M=NL<M=N
CL=M<NL=M<N
DL=M=NL=M=N
EAll of them are possible

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