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    LCM for 12, 18 and 48

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

    What's the Least Common Multiple (LCM) of 12, 18 and 48?

    Answer

    LCM of 12, 18 and 48 is
    144

    First common multiples: 144, 288, 432, …

    144 is divisible by all three: 144 ÷ 12 = 12, 144 ÷ 18 = 8, 144 ÷ 48 = 3 — and 12, 8 and 3 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/12 by 12 and of y/18 by 8 and of z/48 by 3.

    12 = 22 × 3

    18 = 2 × 32

    48 = 24 × 3

    Prime121848Highest power
    22222424
    3332332

    LCM = 24 × 32 = 144

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--18--48Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--18--48">What is the LCM of 12, 18 and 48? - Calculatio</a>Copy
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    What is the LCM of 12, 18 and 48? The LCM of 12, 18 and 48 is 144 — 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/12--18--48/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    121833396
    121834612
    1218351,260
    12183636
    1218371,332
    121838684
    121839468
    121840360
    1218411,476
    121842252
    1218431,548
    121844396
    121845180
    121846828
    1218471,692
    121848144
    1218491,764
    121850900
    121851612
    121852468
    1218531,908
    121854108
    1218551,980
    121856504
    121857684
    1218581,044
    1218592,124
    121860180
    1218612,196
    1218621,116

    FAQ

    What's the Least Common Multiple (LCM) of 12, 18 and 48?

    LCM of 12, 18 and 48 is 144

    How to find the LCM of 12, 18 and 48 by prime factorization?

    Take every prime that appears in 12, 18 and 48 to the highest power it reaches in any one of them and multiply: 2⁴ × 3² = 144.

    Can you get the LCM of 12, 18 and 48 two numbers at a time?

    Yes. The LCM of 12 and 18 is 36, and the LCM of 36 and 48 is 144 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 144 divisible by 12, 18 and 48?

    Yes, and by definition it is the smallest positive integer that is: 144 ÷ 12, 144 ÷ 18 and 144 ÷ 48 all come out whole. Any other common multiple of 12, 18 and 48 is a multiple of 144.

    See Also