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    LCM for 15, 23 and 27

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

    What's the Least Common Multiple (LCM) of 15, 23 and 27?

    Answer

    LCM of 15, 23 and 27 is
    3,105

    First common multiples: 3,105; 6,210; 9,315; …

    3,105 is divisible by all three: 3,105 ÷ 15 = 207; 3,105 ÷ 23 = 135; 3,105 ÷ 27 = 115 — and 207, 135 and 115 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/15 by 207 and of y/23 by 135 and of z/27 by 115.

    15 = 3 × 5

    23 — prime

    27 = 33

    Prime152327Highest power
    33—3333
    55——5
    23—23—23

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

    LCM = 33 × 5 × 23 = 3,105

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--23--27Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--23--27">What is the LCM of 15, 23 and 27? - Calculatio</a>Copy
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    What is the LCM of 15, 23 and 27? The LCM of 15, 23 and 27 is 3,105 — 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/15--23--27/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1215231,380
    1315234,485
    1415234,830
    151523345
    1516235,520
    1517235,865
    1518232,070
    1519236,555
    1520231,380
    1521232,415
    1522237,590
    152323345
    1523242,760
    1523251,725
    1523268,970
    1523273,105
    1523289,660
    15232910,005
    152330690
    15233110,695
    15233211,040
    1523333,795
    15233411,730
    1523352,415
    1523364,140
    15233712,765
    15233813,110
    1523394,485
    1523402,760
    15234114,145

    FAQ

    What's the Least Common Multiple (LCM) of 15, 23 and 27?

    LCM of 15, 23 and 27 is 3,105

    How to find the LCM of 15, 23 and 27 by prime factorization?

    Take every prime that appears in 15, 23 and 27 to the highest power it reaches in any one of them and multiply: 3³ × 5 × 23 = 3,105.

    Can you get the LCM of 15, 23 and 27 two numbers at a time?

    Yes. The LCM of 15 and 23 is 345, and the LCM of 345 and 27 is 3,105 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 3,105 divisible by 15, 23 and 27?

    Yes, and by definition it is the smallest positive integer that is: 3,105 ÷ 15, 3,105 ÷ 23 and 3,105 ÷ 27 all come out whole. Any other common multiple of 15, 23 and 27 is a multiple of 3,105.

    See Also