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    LCM for 39, 45 and 54

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

    What's the Least Common Multiple (LCM) of 39, 45 and 54?

    Answer

    LCM of 39, 45 and 54 is
    3,510

    First common multiples: 3,510; 7,020; 10,530; …

    3,510 is divisible by all three: 3,510 ÷ 39 = 90; 3,510 ÷ 45 = 78; 3,510 ÷ 54 = 65 — and 90, 78 and 65 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/39 by 90 and of y/45 by 78 and of z/54 by 65.

    39 = 3 × 13

    45 = 32 × 5

    54 = 2 × 33

    Prime394554Highest power
    2——22
    33323333
    5—5—5
    1313——13

    — = 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 × 13 = 3,510

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/39--45--54Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/39--45--54">What is the LCM of 39, 45 and 54? - Calculatio</a>Copy
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    What is the LCM of 39, 45 and 54? The LCM of 39, 45 and 54 is 3,510 — 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/39--45--54/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    393945585
    3940454,680
    39414523,985
    3942458,190
    39434525,155
    39444525,740
    394545585
    39454626,910
    39454727,495
    3945489,360
    39454928,665
    3945505,850
    3945519,945
    3945522,340
    39455331,005
    3945543,510
    3945556,435
    39455632,760
    39455711,115
    39455833,930
    39455934,515
    3945602,340
    39456135,685
    39456236,270
    3945634,095
    39456437,440
    394565585
    39456612,870
    39456739,195
    39456839,780

    FAQ

    What's the Least Common Multiple (LCM) of 39, 45 and 54?

    LCM of 39, 45 and 54 is 3,510

    How to find the LCM of 39, 45 and 54 by prime factorization?

    Take every prime that appears in 39, 45 and 54 to the highest power it reaches in any one of them and multiply: 2 × 3³ × 5 × 13 = 3,510.

    Can you get the LCM of 39, 45 and 54 two numbers at a time?

    Yes. The LCM of 39 and 45 is 585, and the LCM of 585 and 54 is 3,510 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 3,510 divisible by 39, 45 and 54?

    Yes, and by definition it is the smallest positive integer that is: 3,510 ÷ 39, 3,510 ÷ 45 and 3,510 ÷ 54 all come out whole. Any other common multiple of 39, 45 and 54 is a multiple of 3,510.

    See Also