#help needed pls
spiral flint
modern swan
Alright so
humble surge
i’m just struggling
dw
modern swan
If you look at the 2^6 x 5 x 7 option
It’s not a multiple of 60, because 60 has a 3 in it’s prime composition, but this number doesn’t
acoustic garnet
modern swan
So you can rule that one out
Based on that, can you give me one that is a multiple of both? That would mean that it has all the numbers that they have in it and at least as many times as the number of times as the one out of the two with more of that number in it’s prime composition
spiral flint
2^4 x 3 x 7
modern swan
That wouldn’t work because it’s not a multiple of 5, whereas both 60 and 2240 are
And also because that only has 2 four times in its composition but 2240 has 2 six times
spiral flint
2^4 x 3 x 5^2 x 7
modern swan
That also wouldn’t work, can you tell me why?
spiral flint
2^6 x 3 x 5 x 7
modern swan
2^6 x 3 x 5 x 7
Yep so that’s one, well done
spiral flint
That also wouldn’t work, can you tell me why?
because 2240 has 2 six times
modern swan
because 2240 has 2 six times
Yep
spiral flint
how do i find the next one?
modern swan
If we figure out the minimum number, then we can just count all of the options that have the same numbers, just more times
So the lowest common multiple of 60 and 2240 is 2^6 x 3 x 5 x 7
We want all of the options on there that have those and more
spiral flint
2^8 x 3 x 5^2 x 7 ?
modern swan
Yeah that works as well
spiral flint
so are those 2 my final answers?
modern swan
You may want to have a look through the options again, that’s not quite all
modern swan
Yep very nice
spiral flint
is that all of them?
modern swan
Yeah
spiral flint
thank you so much for your help i really appreciate it!