Least common multiple

What is the least common multiple, abbreviated as LCM, of 15, 6 and 10?

So now I have to worry about finding a common denominator.

The least common multiple is just going to be 8 times 5.

You say, hey, Sal, how did you get 8?

Both 10 and 100 is the least common multiple.

5 is just 5, because it is a prime number.

Well what's the least common multiple of two and three?

Well, 100 is divisible by 2, so 100 is actually the least common multiple of 100 and 2.

So let's think about what that number is, and there's two ways of coming up with that what we could call a least common multiple, the smallest multiple of both 9 and 12 that is common.

So 21 28 and 6 9.

12 times 5 is 60.

In order to add these two fractions we need to find a common denominator

Let's do minus one ninth minus one over four.

So once again, we already have 3 and 5.

Let's do the multiples of 10. They are 10, 20, 30, 40... well, we already went far enough.

Multiples of 6 6,12,18,24,30... i can keep going and the multiples of 8 are 8,16,24,. looks like we are done.

Well that's the smallest number that's a multiple of both two and three.

So the least common multiple, the smallest multiple that they have in common we see over here. 15 times 2 is 30 and 6 times 5 is 30.

And this is greater than, so 2 and 1 2 is greater than 11 10.

This is 100 times smaller of a number right here than just the 87.5.

Another way to do it is to look at the prime factorization of each of these numbers. and then the 'least common multiple' of them would have each of those prime numbers in it.

Six ninths minus two fifths. Well we're gonna have to find a common denominator.

And 4 and 3 don't share any prime factors with each other.

So it is actually the fact that the LCM of 15, 6 and 10 is equal to 30.

So to do that, lets think of the different multiples of 15, 6 and 10. and then find the smallest multiple, the least multiple they have in common.

Double Precision Number

Now that's the multiples of 15 up through 105. Obviously, we keep going from there. Now lets do the multiples of 6.

It turns out that what we want for, what we'll call the common denominator, it turns out to be the least common multiple of two and three.

So let's we do this in a different color, so let me pick out the multiples of five.

If you want the rainbow, you must have the rain.

We have 30 and we have a 30, we have a 60 and a 60.

So you could rewrite so what's the least common multiple of 9 and 7?

Not only do you have nothing, you owe the bank 40.

So every time we add 2.

Maximum number of samples lower than minimum number.

But when you have a number in the denominator, the larger it is, the smaller the fraction.

So this is definitely a common multiple and it is the smallest of all of their LCMs.

We have a micron. Here is a micron which is a millionth for the meter and a thousand times smaller than that is nanometer.

So before I give the example, the general idea is a negative number is any number less than zero.

If none of the values is a float, all of them will be treated as integers, and an integer is returned.

Well, the same idea is going to happen.

And you're probably thinking, boy, that's a really, really small number.

I only have 2 to give away.

So 13 20 (or 13 20) ...