Find the least number which will leaves remainder 5 when divided by 8, 12, 16 and 20.

  • 1240
  • 2245
  • 3265
  • 4235
Answer:- 1
Explanation:-

Solution:
We have to find the Least number, therefore we find out the LCM of 8, 12, 16 and 20.
8 = 2*2*2;
12 = 2*2*3;
16 = 2*2*2*2;
20 = 2*2*5;
LCM = 2*2*2*2*3*5 = 240;
This is the least number which is exactly divisible by 8, 12, 16 and 20.
Thus,
required number which leaves remainder 5 is,
240+5 = 245.

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