Question

Find the LMC of 12 and 30

Answer 1

Answer: 60

Step-by-step explanation: To find the least common multiple for the integers 12 and 30, we start by making a factor tree for each of our integers.

So 12 is 6 x 2 and 6 is 3 x 2.

30 is 10 × 3 and 10 is 5 x 2.

Notice from the image attached that our 2's match up as factors of each our integers and our 3's also match up as factors of each our integers.

When finding the least common multiple, we simply multiply all of our factors together but since the 2's match up and the 3's match up, we only multiply by a 2 and a 3 once.

So our least common multiple or lcm is 2 · 3 · the 5 that doesn't match up · the 7 that doesn't match up.

So we have 2 times 3 which is 6, times 5 which is 30,

times 2 which is 60.

Also, it's important to notice that there are two 2's when we factored 30 but they don't match up because they're from the same integer.

So the least common multiple for 12 and 30 is 60.

Answer 2

Answer:

60.

Step-by-step explanation:

I guess you mean the LCM (Lowest Common Multiple):

12 = 2 * 2 * 3

30 = 2 * 3 * 5

We see there are duplicate 2's and 3's so:

So the LCM  is 2 * 2 * 3 * 5 =  60.

(the duplicates only appear once in the calculation).