Seriously stuck on this:
"Find the LCM of n^3 × t^2 and n × t^4?"
1) n^4 × t^6
2) n^3 × t^6
3) n^3 × t^4
4) n × t^2
Can anyone help?
URGENT! NEED THIS ANSWERED ASAP!!
:(
Thanks for your assistance in advance,
NatR
you need 3 ns and 4 ts
n^3 t^4
Thanks Damon!
To find the Least Common Multiple (LCM) of two expressions, we need to factorize them and determine the highest powers of each factor.
Given:
Expression 1: n^3 × t^2
Expression 2: n × t^4
Step 1: Factorize the expressions.
Expression 1: n^3 × t^2 = n × n × n × t × t
Expression 2: n × t^4 = n × t × t × t × t
Step 2: Determine the highest powers of each factor.
The factors in both expressions are n and t. We need to find which factor has the highest power.
For n, we see that the highest power in Expression 1 is n^3, while in Expression 2 it is n^1. So, we take n^3 as the highest power of n.
For t, in Expression 1 the highest power is t^2, while in Expression 2 it is t^4. So, we take t^4 as the highest power of t.
Step 3: Multiply the highest powers of each factor.
Multiply n^3 × t^4 = n^3t^4
Therefore, the LCM of n^3 × t^2 and n × t^4 is n^3t^4.
Answer: Option 1) n^4 × t^6