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    LCM for 48, 64 and 88

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

    What's the Least Common Multiple (LCM) of 48, 64 and 88?

    Answer

    LCM of 48, 64 and 88 is
    2,112

    First common multiples: 2,112; 4,224; 6,336; …

    2,112 is divisible by all three: 2,112 ÷ 48 = 44; 2,112 ÷ 64 = 33; 2,112 ÷ 88 = 24 — and 44, 33 and 24 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/48 by 44 and of y/64 by 33 and of z/88 by 24.

    48 = 24 × 3

    64 = 26

    88 = 23 × 11

    Prime486488Highest power
    224262326
    33——3
    11——1111

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

    LCM = 26 × 3 × 11 = 2,112

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/48--64--88Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/48--64--88">What is the LCM of 48, 64 and 88? - Calculatio</a>Copy
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    What is the LCM of 48, 64 and 88? The LCM of 48, 64 and 88 is 2,112 — 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/48--64--88/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    48647314,016
    4864747,104
    4864754,800
    4864763,648
    48647714,784
    4864782,496
    48647915,168
    486480960
    4864815,184
    4864827,872
    48648315,936
    4864841,344
    48648516,320
    4864868,256
    4864875,568
    4864882,112
    48648917,088
    4864902,880
    48649117,472
    4864924,416
    4864935,952
    4864949,024
    48649518,240
    486496192
    48649718,624
    4864989,408
    4864996,336
    48641004,800
    486410119,392
    48641023,264

    FAQ

    What's the Least Common Multiple (LCM) of 48, 64 and 88?

    LCM of 48, 64 and 88 is 2,112

    How to find the LCM of 48, 64 and 88 by prime factorization?

    Take every prime that appears in 48, 64 and 88 to the highest power it reaches in any one of them and multiply: 2⁶ × 3 × 11 = 2,112.

    Can you get the LCM of 48, 64 and 88 two numbers at a time?

    Yes. The LCM of 48 and 64 is 192, and the LCM of 192 and 88 is 2,112 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 2,112 divisible by 48, 64 and 88?

    Yes, and by definition it is the smallest positive integer that is: 2,112 ÷ 48, 2,112 ÷ 64 and 2,112 ÷ 88 all come out whole. Any other common multiple of 48, 64 and 88 is a multiple of 2,112.

    See Also