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    LCM for 18, 30 and 48

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

    What's the Least Common Multiple (LCM) of 18, 30 and 48?

    Answer

    LCM of 18, 30 and 48 is
    720

    First common multiples: 720; 1,440; 2,160; …

    720 is divisible by all three: 720 ÷ 18 = 40, 720 ÷ 30 = 24, 720 ÷ 48 = 15 — and 40, 24 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 40 and of y/30 by 24 and of z/48 by 15.

    18 = 2 × 32

    30 = 2 × 3 × 5

    48 = 24 × 3

    Prime183048Highest power
    2222424
    3323332
    5—5—5

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

    LCM = 24 × 32 × 5 = 720

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--30--48Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--30--48">What is the LCM of 18, 30 and 48? - Calculatio</a>Copy
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    What is the LCM of 18, 30 and 48? The LCM of 18, 30 and 48 is 720 — 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--48/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    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
    1830571,710
    1830582,610
    1830595,310
    183060180
    1830615,490
    1830622,790

    FAQ

    What's the Least Common Multiple (LCM) of 18, 30 and 48?

    LCM of 18, 30 and 48 is 720

    How to find the LCM of 18, 30 and 48 by prime factorization?

    Take every prime that appears in 18, 30 and 48 to the highest power it reaches in any one of them and multiply: 2⁴ × 3² × 5 = 720.

    Can you get the LCM of 18, 30 and 48 two numbers at a time?

    Yes. The LCM of 18 and 30 is 90, and the LCM of 90 and 48 is 720 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 720 divisible by 18, 30 and 48?

    Yes, and by definition it is the smallest positive integer that is: 720 ÷ 18, 720 ÷ 30 and 720 ÷ 48 all come out whole. Any other common multiple of 18, 30 and 48 is a multiple of 720.

    See Also