What greatest number can be substracted from 10000 so that the remainder may be divisible by 32 ,36, 48 and 54. *?
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Answered by
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LCM of 32 = 2^5
LCM of 36 = 2^2 * 3^2
LCM of 48 = 2^4 * 3
LCM of 54 = 2 * 3^3
LCM of 32,36,48,54 = 2^5 * 3^3
= 864.
Greatest number can be subtracted from 10000 is 10000 - 864
= 9136.
Hope this helps!
LCM of 36 = 2^2 * 3^2
LCM of 48 = 2^4 * 3
LCM of 54 = 2 * 3^3
LCM of 32,36,48,54 = 2^5 * 3^3
= 864.
Greatest number can be subtracted from 10000 is 10000 - 864
= 9136.
Hope this helps!
Answered by
12
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