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    LCM for 18, 30 and 42

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

    What's the Least Common Multiple (LCM) of 18, 30 and 42?

    Answer

    LCM of 18, 30 and 42 is
    630

    First common multiples: 630; 1,260; 1,890; …

    630 is divisible by all three: 630 ÷ 18 = 35, 630 ÷ 30 = 21, 630 ÷ 42 = 15 — and 35, 21 and 15 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 35 and of y/30 by 21 and of z/42 by 15.

    18 = 2 × 32

    30 = 2 × 3 × 5

    42 = 2 × 3 × 7

    Prime183042Highest power
    22222
    3323332
    5—5—5
    7——77

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

    LCM = 2 × 32 × 5 × 7 = 630

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--30--42Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--30--42">What is the LCM of 18, 30 and 42? - Calculatio</a>Copy
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    What is the LCM of 18, 30 and 42? The LCM of 18, 30 and 42 is 630 — 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--30--42/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    182730270
    1828301,260
    1829302,610
    18303090
    1830312,790
    1830321,440
    183033990
    1830341,530
    183035630
    183036180
    1830373,330
    1830381,710
    1830391,170
    183040360
    1830413,690
    183042630
    1830433,870
    1830441,980
    18304590
    1830462,070
    1830474,230
    183048720
    1830494,410
    183050450
    1830511,530
    1830522,340
    1830534,770
    183054270
    183055990
    1830562,520

    FAQ

    What's the Least Common Multiple (LCM) of 18, 30 and 42?

    LCM of 18, 30 and 42 is 630

    How to find the LCM of 18, 30 and 42 by prime factorization?

    Take every prime that appears in 18, 30 and 42 to the highest power it reaches in any one of them and multiply: 2 × 3² × 5 × 7 = 630.

    Can you get the LCM of 18, 30 and 42 two numbers at a time?

    Yes. The LCM of 18 and 30 is 90, and the LCM of 90 and 42 is 630 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 630 divisible by 18, 30 and 42?

    Yes, and by definition it is the smallest positive integer that is: 630 ÷ 18, 630 ÷ 30 and 630 ÷ 42 all come out whole. Any other common multiple of 18, 30 and 42 is a multiple of 630.

    See Also