what is the least common denominator for six, nine and five?

Answer 1

6 = 2*3
9 = 3^2
5 = 5
common denominator = 2*3^2*5
= 2*9*5
= 90
90 is called the least common multiple (LCM) of 6, 9,and 5.

Answer 2

multiples of nine
1*9=9
2*9=18
3*9=27
4*9=36
5*9=45
6*9=54
7*9=63
8*9=72
9*9=81
10*9=90

multiples of 5
1*5=5
2*5=10
3*5=15
4*5=20
5*5=25
6*5=30
7*5=35
8*5=40
9*5=45
10*5=50
11*5=55
12*5=60
13*5=65
14*5=70
15*5=75
16*5=80
17*5=85
18*5=90

multiples of 6
1*6=6
2*6=12
3*6=18
4*6=24
5*6=30
6*6=36
7*6=42
8*6=48
9*6=54
10*6=60
11*6=66
12*6=72
13*6=78
14*6=84
15*6=90

look at the multiples of each of the numbers, find the lowest number which is common among all 3. We know it has to end in a 5 or 0, because it has to be dividable by 5.

look throug the nines, since those factors have the largest gaps, the only numbers there that are divable by 5 are, 5*9=45 and 10*9=90.

Now we have used the 5's and 9's to narrow the answer down to 45 or 90. Now look at the last group, the 6's....since 45 is the lower of these 2 numbers, look to see if 45 is possible. We see that it is not, because the 6's jump from 42 to 48, there is no 45. So next we check 90....that is the answer because 10*9=90, 18*5=90, and 15*6=90.

there is your answer and how it was figured out....90.

Answer 3

6 9 5
2*3 3*3 5
2*3*3*5=90

Answer 4

6 = 3*2
9 = 3*3
5 is prime

The LCM must be 5*3*3*2 = 90

Answer 5

1/9 1/6 1/5

90 theres no way around it