First we need to know what number 2*5*7 gives us. That's the same as 10*7=70. So the question is asking how many multiples of 70 are between 1 and 700. Let's list them: 70 140 210 280 350 420 490 560 630 700
So there are 10 integers from 1 to 700 that are divisible by 2, 5, and 7.
