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    LCM for 12, 36 and 48

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

    What's the Least Common Multiple (LCM) of 12, 36 and 48?

    Answer

    LCM of 12, 36 and 48 is
    144

    First common multiples: 144, 288, 432, …

    144 is divisible by all three: 144 ÷ 12 = 12, 144 ÷ 36 = 4, 144 ÷ 48 = 3 — and 12, 4 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/36 by 4 and of z/48 by 3.

    12 = 22 × 3

    36 = 22 × 32

    48 = 24 × 3

    Prime123648Highest power
    222222424
    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--36--48Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--36--48">What is the LCM of 12, 36 and 48? - Calculatio</a>Copy
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    What is the LCM of 12, 36 and 48? The LCM of 12, 36 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--36--48/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    123336396
    123436612
    1235361,260
    12363636
    1236371,332
    123638684
    123639468
    123640360
    1236411,476
    123642252
    1236431,548
    123644396
    123645180
    123646828
    1236471,692
    123648144
    1236491,764
    123650900
    123651612
    123652468
    1236531,908
    123654108
    1236551,980
    123656504
    123657684
    1236581,044
    1236592,124
    123660180
    1236612,196
    1236621,116

    FAQ

    What's the Least Common Multiple (LCM) of 12, 36 and 48?

    LCM of 12, 36 and 48 is 144

    How to find the LCM of 12, 36 and 48 by prime factorization?

    Take every prime that appears in 12, 36 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, 36 and 48 two numbers at a time?

    Yes. The LCM of 12 and 36 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, 36 and 48?

    Yes, and by definition it is the smallest positive integer that is: 144 ÷ 12, 144 ÷ 36 and 144 ÷ 48 all come out whole. Any other common multiple of 12, 36 and 48 is a multiple of 144.

    See Also