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    LCM for 27, 36 and 45

    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    What's the Least Common Multiple (LCM) of 27, 36 and 45?

    Answer

    LCM of 27, 36 and 45 is
    540

    First common multiples: 540; 1,080; 1,620; …

    540 is divisible by all three: 540 ÷ 27 = 20, 540 ÷ 36 = 15, 540 ÷ 45 = 12 — and 20, 15 and 12 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/27 by 20 and of y/36 by 15 and of z/45 by 12.

    27 = 33

    36 = 22 × 32

    45 = 32 × 5

    Prime273645Highest power
    2—22—22
    333323233
    5——55

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 22 × 33 × 5 = 540

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/27--36--45Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/27--36--45">What is the LCM of 27, 36 and 45? - Calculatio</a>Copy
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    What is the LCM of 27, 36 and 45? The LCM of 27, 36 and 45 is 540 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/27--36--45/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    273036540
    2731363,348
    273236864
    2733361,188
    2734361,836
    2735363,780
    273636108
    2736373,996
    2736382,052
    2736391,404
    2736401,080
    2736414,428
    273642756
    2736434,644
    2736441,188
    273645540
    2736462,484
    2736475,076
    273648432
    2736495,292
    2736502,700
    2736511,836
    2736521,404
    2736535,724
    273654108
    2736555,940
    2736561,512
    2736572,052
    2736583,132
    2736596,372

    FAQ

    What's the Least Common Multiple (LCM) of 27, 36 and 45?

    LCM of 27, 36 and 45 is 540

    How to find the LCM of 27, 36 and 45 by prime factorization?

    Take every prime that appears in 27, 36 and 45 to the highest power it reaches in any one of them and multiply: 2² × 3³ × 5 = 540.

    Can you get the LCM of 27, 36 and 45 two numbers at a time?

    Yes. The LCM of 27 and 36 is 108, and the LCM of 108 and 45 is 540 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 540 divisible by 27, 36 and 45?

    Yes, and by definition it is the smallest positive integer that is: 540 ÷ 27, 540 ÷ 36 and 540 ÷ 45 all come out whole. Any other common multiple of 27, 36 and 45 is a multiple of 540.

    See Also