Consecutively divisible?
Number Theory
Level
1
My favorite integer is divisible by 3, 4 and 5.
Is my favorite integer also divisible by 6?
Yes, definitely
No, never
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1 solution
LCM of (3,4,5)=60
The favorite integers are multiples of 60. (60,120,180,240,....etc)
The number 60 is divisible by 6 & multiple of 60 also divisible by 6.
Therefore, the favorite integers are divisible by 6.