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 3

x=M₈ + 3

x:10=c2 reminder 3

x=M₁₀ + 3

x:12=c3 reminder 3

x=M₁₂ + 3

x:30=c4 reminder 3

x=M₃₀ + 3

x=[M₈; M₁₀; M₁₂; M₃₀]+3

8=2³

10=2 * 5

12=2² * 3

30=2*3 * 5

200 < x < 500

x = 2³ * 5 * 3 + 3

x=8*5*3+3

x=120+3

x=123 it doesn't corespond

x=2⁴ * 15+3

x=16*15+3

x=240+3

x=243

x=8*5*9+3

x=40*9+3

x=360+3

x=363

x=8*5*3*4+3

x=40*12+3

x=480+3

x=483

x=8*5² * 3+3

x=24*25+3

x=600+3

x=603 it doesn't corespond

x={243; 363; 483}