Answer
70
Work Step by Step
The Least Common Multiple is the smallest number that is a multiple of all of the numbers listed. Remember, multiples of a number are all of the numbers that the number can be multiplied by a whole number to get. We write out all of the multiples until we get a common multiple:
$$ 5: 5,10,15,20,25,30,35,40,45,50,55,60,65,70 \\ 7: 7,14,21,28,35,42,49,56,63,70 \\ 10: 10,20,30,40,50,60,70 \\ 14: 14,28,42,56,70$$
70 is the least common multiple.