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CBSE Class 10 Answered

find the smallest number when divided by 2,3,4,5,6 leaves remainder 1,2,3,4,5
Asked by my3shyll | 09 Jul, 2016, 06:07: PM
answered-by-expert Expert Answer
Here,
2 - 1 = 1
3 - 2 = 1
4 - 3 = 1
5 - 4 = 1
6 - 5 = 1
That is, if we subtract 1 from the number divisible by 2, 3, 4, 5, 6, we get the required number.
The smallest number divisible by 2, 3, 4, 5, 6 will be the LCM of 2, 3, 4, 5, 6.
LCM of 2,3, 4, 5, 6 is
 
begin mathsize 16px style The space smallest space number space divisible space by space 2 comma space 3 comma space 4 comma space 5 space and space 6 space equals space LCM space of space 2 comma space 3 comma space 4 comma space 5 space and space 6 equals 2 cross times 3 cross times 4 cross times 5 cross times 6 equals 60 So comma space the space required space number space which space leaves space straight a space remainder space of space 1 comma space 2 comma space 3 comma space 4 comma space 5 equals LCM space of space left parenthesis 2 comma space 3 comma space 4 comma space 5 comma space 6 right parenthesis minus 1 equals 59 end style
Answered by Rebecca Fernandes | 10 Jul, 2016, 08:09: PM

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