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# What number divided by 2 has a remainder 1 divided by 3 has a remainder 1 divided by 4 has a remainder 1 divided by 5 has a remainder 1 divided by 6 has a remainder 1 divided by 7 has a remainder 1?

Updated: 12/9/2022

Wiki User

10y ago

The lowest number is 421.

There are many numbers that meet that criteria, all of them are one number higher than multiples of the Least Common Denominator of 2, 3, 4, 5, 6, and 7 (which is 3 x 4 x 5 x 7 = 420 ).

421 /2 = 210 r.1

421 /3 = 140 r.1

421 /4 = 105 r.1

421 /5 = 84 r.1

421 /6 = 70 r.1

421 /7 = 60 r.1

Wiki User

10y ago

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Q: What number divided by 2 has a remainder 1 divided by 3 has a remainder 1 divided by 4 has a remainder 1 divided by 5 has a remainder 1 divided by 6 has a remainder 1 divided by 7 has a remainder 1?
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