Question
Find the sum of all the numbers between 200 and 1500,
which are divisible by 9, 12 and 15.Solution
LCM of 9, 12 and 15 = 180 So, desired numbers are: 360, 540, …, 1440 Number of terms = (1440 – 360)/180 + 1 = 7 Sum = (7/2) × [360 + 1440] = 6300
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