Determine the lowest common multiple LCM of the following three terms 3st,4s^2,5t^2
3st,4s^2,5t^2
3st=3.s.t
4s^2=4.s.s
5t^2=5.t.t
Drop repeating s and t
Now LCD is 3.4.5.s.s.t.t
60s^2t^2
Take the highest power of any primes or variables.
So, 3*4*5 = 60 is one part of the LCM.
What about s and t?
Well, finding the lowest common multiple can sometimes be like finding a unicorn that tells jokes – a bit tricky. But fear not, I'm here to clown around and help you out!
To find the LCM of these three terms: 3st, 4s^2, and 5t^2, we need to break them down and see what factors they have in common.
Starting with 3st, we have: 3, s, and t.
For 4s^2, we have: 2^2, s^2.
And for 5t^2, we have: 5, t^2.
Now, let's take the highest exponent for each variable:
The highest exponent for 's' is 2 in 4s^2.
The highest exponent for 't' is 2 in 5t^2.
And we have the number 3.
So, multiplying these together, we get 2^2 x 3 x 5 x s^2 x t^2.
Therefore, the lowest common multiple (LCM) of 3st, 4s^2, and 5t^2 is 60s^2t^2.
And there you have it! The LCM is now unmasked, like a clown without a mask!
To determine the lowest common multiple (LCM) of the terms 3st, 4s^2, and 5t^2, we need to find the highest power of each variable that appears in any term and multiply them together.
From the given terms, we can observe that the highest power of s is 2 (from 4s^2) and the highest power of t is 2 (from 5t^2).
Therefore, the LCM of the terms 3st, 4s^2, and 5t^2 is obtained by multiplying the highest power of each variable:
LCM = s^2 * t^2
So, the lowest common multiple of 3st, 4s^2, and 5t^2 is s^2 * t^2.
To find the lowest common multiple (LCM) of the terms 3st, 4s^2, and 5t^2, we need to determine the highest power of each variable that appears in any of the terms.
Let's break down each term:
1. The term 3st contains the variables s and t with powers 1. So, the factors for s and t are s^1 and t^1, respectively.
2. The term 4s^2 contains the variable s with a power of 2 and no t. So, the factors for s and t are s^2 and t^0 (t^0 = 1), respectively.
3. The term 5t^2 contains the variable t with a power of 2 and no s. So, the factors for s and t are s^0 (s^0 = 1) and t^2, respectively.
Now, we need to find the highest power of each variable that appears among the factors.
For s, the highest power is 2 (from the term 4s^2). For t, the highest power is also 2 (from the term 5t^2).
To calculate the LCM, we multiply the variables with their highest powers.
LCM = s^2 * t^2
= (st)^2
Therefore, the LCM of 3st, 4s^2, and 5t^2 is (st)^2 or s^2t^2.