Paula and Ricardo are serving cupcakes at a school party. If they arrange the cupcakes in groups of 2,3,4,5,or 6 they always have exactly one cupcake left over. What is the smallest number of cupcakes they could have?

Question

rational · Answer

Suppose the number of cupcakes is
$$\large 2*3*4*5*6 + 1$$

anonymous · Answer

so 721

rational · Answer

does it meet the given requirement that exactly one cupcake will be left if you arrange in groups of 2,3,4,5,6 ?

anonymous · Answer

well-----> 2+3+4+5+6=20 divided by 5=4

anonymous · Answer

so its 4

anonymous · Answer

no i dont think its 4

anonymous · Answer

i typed in that answer and it wrong

anonymous · Answer

why dont u think its 4?

anonymous · Answer

its*

rational · Answer

721 meets the given requirement but it is not the "smallest" number

anonymous · Answer

how do i find the smallest number?

rational · Answer

instead try this number
$$\text{LCM}(2,3,4,5,6) + 1$$

rational · Answer

whats the LCM of 2,3,4,5,6 ?

anonymous · Answer

why dont u think its 4 @lizethv

anonymous · Answer

61?

rational · Answer

Yes!

LCM of 2,3,4,5,6 is 60

adding 1 to that we get the required number : 60+1 = 61

anonymous · Answer

okay thank you!

rational · Answer

yw