Question
Download Solution PDFFind the sum of the numbers between 400 and 600 such that when they are divided by 6, 12 and 16, there will be no remainder.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
We need to find the sum of numbers in the range of 400 - 600 such that they are divisible by each 6, 12 and 16.
Concept:
LCM (Lowest Common Multiple)
Calculation:
LCM (6, 12, 16) = 48
The required numbers will be in the form of 48k, where k is a natural number.
For k = 9, 48k = 48 × 9 = 432
For k = 10, 48k = 48 × 10 = 480
For k = 11, 48k = 48 × 11 = 528
For k = 12. 48k = 48 × 12 = 576
∴ The sum of these 4 numbers that is, 432, 480, 528, and 576 is 2016.
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