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    LCM for 30, 36 and 48

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

    What's the Least Common Multiple (LCM) of 30, 36 and 48?

    Answer

    LCM of 30, 36 and 48 is
    720

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

    720 is divisible by all three: 720 ÷ 30 = 24, 720 ÷ 36 = 20, 720 ÷ 48 = 15 — and 24, 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/30 by 24 and of y/36 by 20 and of z/48 by 15.

    30 = 2 × 3 × 5

    36 = 22 × 32

    48 = 24 × 3

    Prime303648Highest power
    22222424
    3332332
    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/30--36--48Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/30--36--48">What is the LCM of 30, 36 and 48? - Calculatio</a>Copy
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    What is the LCM of 30, 36 and 48? The LCM of 30, 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/30--36--48/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    3033361,980
    3034363,060
    3035361,260
    303636180
    3036376,660
    3036383,420
    3036392,340
    303640360
    3036417,380
    3036421,260
    3036437,740
    3036441,980
    303645180
    3036464,140
    3036478,460
    303648720
    3036498,820
    303650900
    3036513,060
    3036522,340
    3036539,540
    303654540
    3036551,980
    3036562,520
    3036573,420
    3036585,220
    30365910,620
    303660180
    30366110,980
    3036625,580

    FAQ

    What's the Least Common Multiple (LCM) of 30, 36 and 48?

    LCM of 30, 36 and 48 is 720

    How to find the LCM of 30, 36 and 48 by prime factorization?

    Take every prime that appears in 30, 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 30, 36 and 48 two numbers at a time?

    Yes. The LCM of 30 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 30, 36 and 48?

    Yes, and by definition it is the smallest positive integer that is: 720 ÷ 30, 720 ÷ 36 and 720 ÷ 48 all come out whole. Any other common multiple of 30, 36 and 48 is a multiple of 720.

    See Also