What is the least positive multiple of 21 that is greater than 380?
Dividing 380 by 21 gives a quotient of 18 with a remainder of 2. Therefore, $21 \cdot 18$ is the largest multiple of 21 that is less than or equal to 380, and $21 \cdot 19 = \boxed{399}$ is the least positive multiple of 21 that is greater than 380.
399
Level 2
Prealgebra
Problem: What is the least positive multiple of 21 that is greater than 380?
Solution:<|START_OF_LATENT|><|PRIOR_PREFIX|>To find the least positive multiple of 21 that is greater than 380, first, determine how many times 21 fits into 380. This can be calculated by dividing 380 by 21. 

380 ÷ 21 = 18.0952. 

Since we are looking for a multiple, we take the integer part of this division, which is 18. This means that 21 multiplied by 18 gives us the largest multiple of 21 that is less than or equal to 380. 

Next, calculate this multiple: 

21 × 18 = 378. 

Now, since we need a multiple that is greater than 380, we must consider the next integer, which is 19. 

Calculating the next multiple: 

21 × 19 = 399. 

Since 399 is greater than 380, it satisfies the condition of being the least positive multiple of 21 that exceeds 380. 

Thus, the final answer is 399.<|END_OF_LATENT|> The final answer is $399$.