Which of the following expressions represents the least common multiple of 15, 18, and 25?

2 · 3 · 5
2 · 362 · 5^2
2 · 3^3 · 5^3
2 · 3^2 · 5^3

Question

Which of the following expressions represents the least common multiple of 15, 18, and 25?

2 · 3 · 5
2 · 362 · 5^2
2 · 3^3 · 5^3
2 · 3^2 · 5^3

welshfella · Answer

first get the prime factors
15 = 3*5
18 = 2*3*3
25 = 5*5

The LCM will be the product of these numbers except that where a number occurs more that once in different factors it is only used once.
For example a 5 in factors of 15 matches one in factors of 25 so only one of these are used to get the LCM.

welshfella · Answer

so there are only 2 5's in the answer - that is 5^2

can you find the rest of the LCM?

landon34 · Answer

yeah, I can.

welshfella · Answer

i guess the 362 should be 3^2  right?

landon34 · Answer

yes.

welshfella · Answer

where the t and n come from?

landon34 · Answer

oops, I was on the wrong question. srry.

welshfella · Answer

there are only numbers in the answer....

landon34 · Answer

hold on, let me rewrite the question.
Which of the following expressions represents the least common multiple of 15, 18, and 25?

2 · 3 · 5
2 · 3^2 · 5^2
2 · 3^3 · 5^3
2 · 3^2 · 5^3
there, here is the question, the other one had mistakes.