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    LCM for 18, 24 and 42

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

    What's the Least Common Multiple (LCM) of 18, 24 and 42?

    Answer

    LCM of 18, 24 and 42 is
    504

    First common multiples: 504; 1,008; 1,512; …

    504 is divisible by all three: 504 ÷ 18 = 28, 504 ÷ 24 = 21, 504 ÷ 42 = 12 — and 28, 21 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/18 by 28 and of y/24 by 21 and of z/42 by 12.

    18 = 2 × 32

    24 = 23 × 3

    42 = 2 × 3 × 7

    Prime182442Highest power
    2223223
    3323332
    7——77

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

    LCM = 23 × 32 × 7 = 504

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--24--42Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--24--42">What is the LCM of 18, 24 and 42? - Calculatio</a>Copy
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    What is the LCM of 18, 24 and 42? The LCM of 18, 24 and 42 is 504 — 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/18--24--42/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    182427216
    182428504
    1824292,088
    182430360
    1824312,232
    182432288
    182433792
    1824341,224
    1824352,520
    18243672
    1824372,664
    1824381,368
    182439936
    182440360
    1824412,952
    182442504
    1824433,096
    182444792
    182445360
    1824461,656
    1824473,384
    182448144
    1824493,528
    1824501,800
    1824511,224
    182452936
    1824533,816
    182454216
    1824553,960
    182456504

    FAQ

    What's the Least Common Multiple (LCM) of 18, 24 and 42?

    LCM of 18, 24 and 42 is 504

    How to find the LCM of 18, 24 and 42 by prime factorization?

    Take every prime that appears in 18, 24 and 42 to the highest power it reaches in any one of them and multiply: 2³ × 3² × 7 = 504.

    Can you get the LCM of 18, 24 and 42 two numbers at a time?

    Yes. The LCM of 18 and 24 is 72, and the LCM of 72 and 42 is 504 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 504 divisible by 18, 24 and 42?

    Yes, and by definition it is the smallest positive integer that is: 504 ÷ 18, 504 ÷ 24 and 504 ÷ 42 all come out whole. Any other common multiple of 18, 24 and 42 is a multiple of 504.

    See Also