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26 January, 11:53

What is the least common multiple of 27, 12, and 36

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  1. 26 January, 12:09
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    Answer: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!
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