108Step-by-step explanation:
(LCM, Least Common Multiple) Means to find a multiple of 2 or more numbers and find the least amount that is the same multiple for all numbers.
To do this equation, we must list multiples of each number.
We should do at least 10 multiples to get accurate answers.
For Number 27, we have 27 as our first multiple, we must add 27 after our last sum.
27: 27, 54, 81, 108, 135, 162, 189, 216, 243, and 270.
Work/Proof:
0 +27 = 1st Multiple
27 + 27 = 2nd Multiple
54 + 27 = 3rd Multiple
81 + 27 = 4th Multiple
108 + 27 = 5th Multiple
135 + 27 = 6th Multiple
162 + 27 = 7th Multiple
189 + 27 = 8th Multiple
216 + 27 = 9th Multiple
243 + 27 = 10th Multiple
270.
(The sums are on the left before the plus. ( 54 + 27).
For Number 12, we have 12 as our first multiple, we must add 12 after our last sum.
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120.
Work/Proof:
0 + 12 = 1st Multiple
12 + 12 = 2nd Multiple
24 + 12 = 3rd Multiple
36 + 12 = 4th Multiple
48 + 12 = 5th Multiple
60 + 12 = 6th Multiple
72 + 12 = 7th Multiple
84 + 12 = 8th Multiple
96 + 12 = 9th Multiple
108 + 12 = 10th Multiple
120.
For Number 36, we have 36 as our first multiple, we must add 36 after our last sum.
36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360.
Work/Proof:
0 + 36 = 1st Multiple
36 + 36 = 2nd Multiple
72 + 36 = 3rd Multiple
108 + 36 = 4th Multiple
144 + 36 = 5th Multiple
180 + 36 = 6th Multiple
216 + 36 = 7th Multiple
252 + 36 = 8th Multiple
288 + 36 = 9th Multiple
324 + 36 = 10th Multiple
360.
As we look at the multiples of each numbers, we see that 108 is a multiple that is the same with all numbers, it's the lowest common multiple:
27: 27, 54, 81, (108,) 135, 162, 189, 216, 243, and 270.
12: 12, 24, 36, 48, 60, 72, 84, 96, (108,) 120.
36: 36, 72, (108,) 144, 180, 216, 252, 288, 324, 360.
Best of Luck to you.
If you have any questions, feel free to comment below.
Happy New Year!
