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Question

Find the sum of all numbers less than thousand which are exactly divisible by 2,3,4,5,6&7

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Solution

Please use the L table method to find the LCM for the given values
Divide space by space 2 space for space the space 2 comma space 3 space comma space 4 comma space 5 comma space 6 comma space 7 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 1 comma space 3 comma space 2 comma space 5 comma space 3 comma space 7 Divide space by space 3 space again space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 1 comma space 1 comma space 2 comma space 5 comma space 1 comma space 7 So space the space LCM space is space 2 space straight x space 3 space straight x space 1 space straight x space 1 space straight x space 2 space straight x space 5 space straight x space 1 space straight x space 7 space equals space 420
So the very first number below 1000 which is exactly divisible by 2, 3, 4, 5, 6, and 7 is 420
And the last number is 420 x 2 = 840.

The sum of the values = 420 +840 = 1260.
Answer:
The sum of all numbers less than thousand which are exactly divisible by 2,3,4,5,6&7,
that is 1260.
Please checkout this answer, let me know if you have any question on that. Thank you.

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