Question

Find the highest number which when divided by 228,378,738 leaves remainder 3 in each case

Answer 1

228 = 2 × 2 × 3 × 19
378 = 2 × 3 × 3 × 3 × 7
738 = 2 × 3 × 3 × 41

×××××××××××××××××××××××××

LCM = 2 × 2 × 3 × 3 × 3 × 7 × 19 × 41

LCM = 588,924

Then,

Required number is 588924 + 3

Required number is 588927



I hope this will help you

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