Question
Find the sum of all the numbers between 1500 and 7200,
which are divisible by 18, 24 and 30.Solution
LCM of 18, 24 and 30 = 360 So, desired numbers are: 1800, 2160, …, 6840 Number of terms = (6840 – 1800)/360 + 1 = 15 Sum = (15/2) × [1800 + 6840] = 64800
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