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Q: A number has a remainder of 1 when divided by 4 a remainder of 2 when divided by 5 and a remainder of 3 when divided by 6 What is the smallest number that has all of the above properties?

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Related questions

12 is the smallest whole number that gives a remainder of 4 when it is divided by 8.

24

0.6667

119

103

62 is the smallest number that leaves a remainder of 2 when divided by 3, 4, 5, and 6.

The answer is 8.

7

0.4286

221 is the smallest number which when divided by 24 36 and 54 gives a remainder of 5 each time

Six.

0.8

24

It is 30.

46 46

10017

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1017

The smallest number which can be divided by both 4 and 5 without a remainder is 20. This is also known as the Least Common Multiple (LCM).

The smallest 4 digit number divisible by 50 is 1000, so to have a remainder of 17, it is 1000 + 17 = 1017.

0.6154

Try 27