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CBSE Class 10 Answered

Determine the nearest number to 110000b but greater than 100000 which is exactly divisible by each of 8,15 and 21
Asked by Bhavitbokade | 15 Feb, 2018, 08:56: PM
answered-by-expert Expert Answer
begin mathsize 16px style LCM space of space 8 comma 15 comma 21
8 equals 2 cross times 2 cross times 2
15 equals 3 cross times 5
21 equals 3 cross times 7
LCM equals 3 cross times 2 cross times 2 cross times 2 cross times 5 cross times 7 equals 840
110000 space divided space by space 840 space we space get space 130 space as space quotient space and space 800 space as space remainder.
The space nuber space less space than space 110000 space and space nearest space to space 110000 space that space is space
divisible space by space 840 space is space 110000 minus 800 equals 109200
But space 109200 greater than 10000
Number space nearest space to space 110000 space and space greater space than space 110000 space which space exactly space divides space by space 8 comma space 15 comma space and space 21
is space 109200.
end style
Answered by Sneha shidid | 16 Feb, 2018, 10:07: AM
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