Find the LCM of the following numbers

[chwala]

Homework Statement

See attached

Relevant Equations

lcm

This is the problem, i think its not possible to get the lcm from the options given, i need a second opinion on this:

lcm ought to be## 22×23×48=24,288##

lcm[{22, 23, 32, 33}]=24,288## ok my initial thinking here was not correct. I was finding the lcm without first finding the product...

The correct way is to simply find lcm ##(726, 736)=267,168##

 

[ergospherical]

It ought to be ##2^5 \cdot 3 \cdot 11^2 \cdot 23 = 267168##

 

[chwala]

It ought to be ##2^5 \cdot 3 \cdot 11^2 \cdot 23 = 267168##

really?

 

[chwala]

It ought to be ##2^5 \cdot 3 \cdot 11^2 \cdot 23 = 267168##

ok, you had to find the product first...cheers...

 

[PeroK]

The highest common factor is only ##2##. So, the lowest common multiple must be half the product.