Question

Choose the least number which when divided by 8,9,15,24,32 and 36 leaves reminders 3,4,10,19,27 and 31 respectively

Answer 1

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$\sf{\underline{Numbers}}\tt{= 8,9,15,24,32,36}$

$\sf{\underline{Remainders}}\tt{=3,4,10,19,27,31}$

8 - 3 = 5

9 - 4 = 5

15 - 10 = 5

24 - 19 = 5

32 - 27 = 5

36 - 31 = 5

$\tt{\underline{Difference = 5}}$

$\tt{LCM\:of\:8,9,15,24,32,36 = 1440}$

LCM - Difference = Number

=》 1440 - 5 = $\huge{\tt{1435}}$

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