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    LCM for 20, 36 and 48

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

    What's the Least Common Multiple (LCM) of 20, 36 and 48?

    Answer

    LCM of 20, 36 and 48 is
    720

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

    720 is divisible by all three: 720 ÷ 20 = 36, 720 ÷ 36 = 20, 720 ÷ 48 = 15 — and 36, 20 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/20 by 36 and of y/36 by 20 and of z/48 by 15.

    20 = 22 × 5

    36 = 22 × 32

    48 = 24 × 3

    Prime203648Highest power
    222222424
    3—32332
    55——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/20--36--48Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--36--48">What is the LCM of 20, 36 and 48? - Calculatio</a>Copy
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    What is the LCM of 20, 36 and 48? The LCM of 20, 36 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/20--36--48/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    2033361,980
    2034363,060
    2035361,260
    203636180
    2036376,660
    2036383,420
    2036392,340
    203640360
    2036417,380
    2036421,260
    2036437,740
    2036441,980
    203645180
    2036464,140
    2036478,460
    203648720
    2036498,820
    203650900
    2036513,060
    2036522,340
    2036539,540
    203654540
    2036551,980
    2036562,520
    2036573,420
    2036585,220
    20365910,620
    203660180
    20366110,980
    2036625,580

    FAQ

    What's the Least Common Multiple (LCM) of 20, 36 and 48?

    LCM of 20, 36 and 48 is 720

    How to find the LCM of 20, 36 and 48 by prime factorization?

    Take every prime that appears in 20, 36 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 20, 36 and 48 two numbers at a time?

    Yes. The LCM of 20 and 36 is 180, and the LCM of 180 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 20, 36 and 48?

    Yes, and by definition it is the smallest positive integer that is: 720 ÷ 20, 720 ÷ 36 and 720 ÷ 48 all come out whole. Any other common multiple of 20, 36 and 48 is a multiple of 720.

    See Also