Find all the prime factors of the three numbers. pick up the common factors, ONCE, then pick up the non-common factors one by one, multiply the factors, the product is the least common factor.
example: the least common multiple of 6, 8, and 15
6=2*3
8=2*2*2
15=3*5
Note: do not write 8 into 4*2, because 4 is not a prime number. you have to break the number down to prime factors only.
Notice that 6 and 8 have a common factor 2, so pick up the 2;
6 and 15 have a common factor of 3, so pick up the 3.
those are the only two shared factors, so 2×3
now pick up whatever is not shared:
the two 2s for 8 and the 5 for 15 is not shared, add 2, 2, and 5 to the multiplication: 2×3×2×2×5=120
120 is the least common multiples of 6,8, and 15
this is basically how it is done. I believe you can explain better in your own words.
25 because 5 (the number of sticks) times 5 (the number of houses) equals 25
Answer:
100 x 100 x 100 number cubes
Step-by-step explanation:
It's basically a volume problem. The question is asking if you made a big cube filled with smaller cubes , specifically 1,000,000 of them, what are the dimensions of this big cube. Or in other words the volume is 1,000,000. Now how do we find the volume of a cube? length times width times height, and witht he cubes each of those are the same so we can call them all x.
Now we just set up the equation where we have the equation whatever one side is times itself three times, (or x cubed) it will equal 1,000,000 or x^3=1,000,000,000. Now you just take the cube root of 1,000,000 which gets us 100. so the length, width and height are 100 small cubes.
The answer is 1014. Look at my work...
To solve this we are going to use the free distance fallen formula:
where
is the distance
is the gravity of Earth
is the time in seconds
We know from our problem that the
penny fell off the top of the building and hit the sidewalk below 3.1 seconds later, so
. Lets replace the value in our formula:
meters
We can conclude that the penny fell a distance of 47.098 meters
