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    LCM for 10, 18 and 27

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

    What's the Least Common Multiple (LCM) of 10, 18 and 27?

    Answer

    LCM of 10, 18 and 27 is
    270

    First common multiples: 270, 540, 810, …

    270 is divisible by all three: 270 ÷ 10 = 27, 270 ÷ 18 = 15, 270 ÷ 27 = 10 — and 27, 15 and 10 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/10 by 27 and of y/18 by 15 and of z/27 by 10.

    10 = 2 × 5

    18 = 2 × 32

    27 = 33

    Prime101827Highest power
    222—2
    3—323333
    55——5

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

    LCM = 2 × 33 × 5 = 270

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--18--27Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--18--27">What is the LCM of 10, 18 and 27? - Calculatio</a>Copy
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    What is the LCM of 10, 18 and 27? The LCM of 10, 18 and 27 is 270 — 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/10--18--27/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    101218180
    1013181,170
    101418630
    10151890
    101618720
    1017181,530
    10181890
    1018191,710
    101820180
    101821630
    101822990
    1018232,070
    101824360
    101825450
    1018261,170
    101827270
    1018281,260
    1018292,610
    10183090
    1018312,790
    1018321,440
    101833990
    1018341,530
    101835630
    101836180
    1018373,330
    1018381,710
    1018391,170
    101840360
    1018413,690

    FAQ

    What's the Least Common Multiple (LCM) of 10, 18 and 27?

    LCM of 10, 18 and 27 is 270

    How to find the LCM of 10, 18 and 27 by prime factorization?

    Take every prime that appears in 10, 18 and 27 to the highest power it reaches in any one of them and multiply: 2 × 3³ × 5 = 270.

    Can you get the LCM of 10, 18 and 27 two numbers at a time?

    Yes. The LCM of 10 and 18 is 90, and the LCM of 90 and 27 is 270 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 270 divisible by 10, 18 and 27?

    Yes, and by definition it is the smallest positive integer that is: 270 ÷ 10, 270 ÷ 18 and 270 ÷ 27 all come out whole. Any other common multiple of 10, 18 and 27 is a multiple of 270.

    See Also