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Find The Lowest 4-digit Number Which When Divided By 3, 4 Or 5 Leaves A Remainder Of 2 In Each Case?

Answer»

LOWEST 4-digit number is 1000.

LCM of 3, 4 and 5 is 60.

Dividing 1000 by 60, we get the REMAINDER 40. Thus, the lowest 4-digit number that exactly DIVISIBLE by 3, 4 and 5 is 1000 + (60 - 40) = 1020.

Now, add the remainder 2 that's required. Thus, the answer is 1022.

Lowest 4-digit number is 1000.

LCM of 3, 4 and 5 is 60.

Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.

Now, add the remainder 2 that's required. Thus, the answer is 1022.



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