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Answer:</h3><h2>108</h2><h3>
Step-by-step explanation:</h3>
(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 <u>multiples of each number.</u>
We should do<u> at least 10 multiples to get accurate answers.</u>
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For Number 27, we have 27 as our first multiple, we must add 27 after our last sum.
<u>27: 27, 54, 81, 108, 135, 162, 189, 216, 243, and 270.</u>
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Work/Proof:
0 +27 = 1st Multiple
<u>27 </u>+ 27 = 2nd Multiple
<u>54</u> + 27 = 3rd Multiple
<u>81</u> + 27 = 4th Multiple
<u>108</u> + 27 = 5th Multiple
<u>135</u> + 27 = 6th Multiple
<u>162</u> + 27 = 7th Multiple
<u>189</u> + 27 = 8th Multiple
<u>216</u> + 27 = 9th Multiple
<u>243</u> + 27 = 10th Multiple
<u>270.</u>
(The sums are on the left before the plus. ( <u>54 </u>+ 27).
For Number 12, we have 12 as our first multiple, we must<u> add 12 after our last sum.</u>
<u>12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120.</u>
Work/Proof:
0 + 12 = 1st Multiple
<u>12 </u>+ 12 = 2nd Multiple
<u>24 </u>+ 12 = 3rd Multiple
<u>36</u> + 12 = 4th Multiple
<u>48 </u>+ 12 = 5th Multiple
<u>60</u> + 12 = 6th Multiple
<u>72</u> + 12 = 7th Multiple
<u>84</u> + 12 = 8th Multiple
<u>96</u> + 12 = 9th Multiple
<u>108</u> + 12 = 10th Multiple
<u>120.</u>
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For Number 36, we have 36 as our first multiple, we must <u>add 36 after our last sum.</u>
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<u>36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360.</u>
Work/Proof:
0 + 36 = 1st Multiple
<u>36</u> + 36 = 2nd Multiple
<u>72</u> + 36 = 3rd Multiple
<u>108</u> + 36 = 4th Multiple
<u>144</u> + 36 = 5th Multiple
<u>180</u> + 36 = 6th Multiple
<u>216</u> + 36 = 7th Multiple
<u>252</u> + 36 = 8th Multiple
<u>288 </u>+ 36 = 9th Multiple
<u>324</u> + 36 = 10th Multiple
<u>360.</u>
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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:
<u>27: 27, 54, 81, (108,) 135, 162, 189, 216, 243, and 270.</u>
<u>12: 12, 24, 36, 48, 60, 72, 84, 96, (108,) 120.</u>
<u>36: 36, 72, (108,) 144, 180, 216, 252, 288, 324, 360.</u>
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Best of Luck to you.
If you have any questions, feel free to comment below.
Happy New Year!
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