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    LCM for 10, 18 and 20

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

    What's the Least Common Multiple (LCM) of 10, 18 and 20?

    Answer

    LCM of 10, 18 and 20 is
    180

    First common multiples: 180, 360, 540, …

    180 is divisible by all three: 180 ÷ 10 = 18, 180 ÷ 18 = 10, 180 ÷ 20 = 9 — and 18, 10 and 9 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 18 and of y/18 by 10 and of z/20 by 9.

    10 = 2 × 5

    18 = 2 × 32

    20 = 22 × 5

    Prime101820Highest power
    2222222
    3—32—32
    55—55

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

    LCM = 22 × 32 × 5 = 180

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--18--20Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--18--20">What is the LCM of 10, 18 and 20? - Calculatio</a>Copy
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    What is the LCM of 10, 18 and 20? The LCM of 10, 18 and 20 is 180 — 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--20/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    5101890
    6101890
    71018630
    81018360
    9101890
    10101890
    101118990
    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

    FAQ

    What's the Least Common Multiple (LCM) of 10, 18 and 20?

    LCM of 10, 18 and 20 is 180

    How to find the LCM of 10, 18 and 20 by prime factorization?

    Take every prime that appears in 10, 18 and 20 to the highest power it reaches in any one of them and multiply: 2² × 3² × 5 = 180.

    Can you get the LCM of 10, 18 and 20 two numbers at a time?

    Yes. The LCM of 10 and 18 is 90, and the LCM of 90 and 20 is 180 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 180 divisible by 10, 18 and 20?

    Yes, and by definition it is the smallest positive integer that is: 180 ÷ 10, 180 ÷ 18 and 180 ÷ 20 all come out whole. Any other common multiple of 10, 18 and 20 is a multiple of 180.

    See Also