1 find the least number between 200 and 500 which leaves a reminder of 3 in each case when devided by 8,10,12 and 30

x:8=c1 reminder 3x=M₈ +3x:10=c2 reminder 3x=M₁₀ +3x:12=c3 reminder 3x=M₁₂ +3x:30=c4 reminder 3x=M₃₀ +3x=[M₈;M₁₀;M₁₂;M₃₀]+38=2³10=2* 512=2² * 330=2*3 *5200 < x < 500x= 2³ * 5 *3 +3x=8*5*3+3x=120+3x=123 it doesn't corespondx=2⁴ *15+3x=16*15+3x=240+3x=243x=8*5*9+3x=40*9+3x=360+3x=363x=8*5*3*4+3x=40*12+3x=480+3x=483x=8*5² *3+3x=24*25+3x=600+3x=603  it doesn't corespondx={243;363;483}