Question 179424
It turns out that the LCM 4, 5, and 6 is actually 60 (since they all go into this value and it is the smallest that all 3 go into)



Now add 1 to 60 to get 61. The question is: does 7 go into 61 (evenly)? The answer is no (since {{{61/7=8.714}}}). 



The next <i>smallest</i> number that 4, 5, and 6 go into is just 2 times the LCM 60. So the next value is {{{60*2=120}}}. Now add 1 to 120 to get 121. Now, does 7 go into 121? Once again the answer is no (since {{{120/7=17.143}}})



So repeat these steps until you find the smallest value that 4, 5, and 6 go into and that 7 goes into the next value