First, find the prime factors of 12,20:
12=2*2*3
20=2*2*5
Now, compute the LCM by multiplying the factors (count duplicates once):
LCM=2*2*3*5=60
Only the multiples of the LCM will be divisible by 12 and 20:
60,120,180,240,300,360,420,480,540...
{420,480}
20 of them.
There are many numbers between 500 and 1000 divisible by 3 and 9. Any number divisible by 9 is divisible by 3. How about 900?
There are 5 multiples of 18 between 200 and 300. (An even number divisible by 9 is any number divisible by 18).
Exactly 50
9 of them.
Four of them.
251
There are (500-100)/2 = 200 numbers divisible by 2 between 100 and 500 counting 100 but not 500. Of these (500-100)/8 = 50 are divisible by 8. So there are 150 numbers between 100 and 500 divisible by two but not by 8. By relative primeness exactly 50 out of these 150 are divisible by 3 and therefore these 50 are exactly the ones divisible by 6 but not by 8.
2
A number that is divisible by 4 and 6 must be divisible by the LCM of 4 and 6 which is 12. 100/12 = 8.33 200/12 = 16.67 So, there are 16 numbers below 200 that are divisible by 4 and 6 and, of these, 8 are smaller than 100. That gives 16 - 8 = 8 between 100 and 200.
250 of them if you include 1000
dont kno so just helpp friendds!