Question

find the least number which when divided by 10, 12, 16 and 24 leaves remainder 9 in each case

Answer 1

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First, we will find the LCM of 10, 12, 16 and 24


10 = 2 × 5

12 = 2 × 2 × 3

16 = 2 × 2 × 2 × 2

24 = 2 × 2 × 2 × 3

LCM = 240



Add remainder 9 to 240 [LCM]

240 + 9 = 249




$\therefore{}$The answer is 249

Answer 2

Answer is 723

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