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    LCM for 24, 32 and 48

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

    What's the Least Common Multiple (LCM) of 24, 32 and 48?

    Answer

    LCM of 24, 32 and 48 is
    96

    First common multiples: 96, 192, 288, …

    96 is divisible by all three: 96 ÷ 24 = 4, 96 ÷ 32 = 3, 96 ÷ 48 = 2 — and 4, 3 and 2 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/24 by 4 and of y/32 by 3 and of z/48 by 2.

    24 = 23 × 3

    32 = 25

    48 = 24 × 3

    Prime243248Highest power
    223252425
    33—33

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

    LCM = 25 × 3 = 96

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/24--32--48Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/24--32--48">What is the LCM of 24, 32 and 48? - Calculatio</a>Copy
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    What is the LCM of 24, 32 and 48? The LCM of 24, 32 and 48 is 96 — 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/24--32--48/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    2432331,056
    2432341,632
    2432353,360
    243236288
    2432373,552
    2432381,824
    2432391,248
    243240480
    2432413,936
    243242672
    2432434,128
    2432441,056
    2432451,440
    2432462,208
    2432474,512
    24324896
    2432494,704
    2432502,400
    2432511,632
    2432521,248
    2432535,088
    243254864
    2432555,280
    243256672
    2432571,824
    2432582,784
    2432595,664
    243260480
    2432615,856
    2432622,976

    FAQ

    What's the Least Common Multiple (LCM) of 24, 32 and 48?

    LCM of 24, 32 and 48 is 96

    How to find the LCM of 24, 32 and 48 by prime factorization?

    Take every prime that appears in 24, 32 and 48 to the highest power it reaches in any one of them and multiply: 2⁵ × 3 = 96.

    Can you get the LCM of 24, 32 and 48 two numbers at a time?

    Yes. The LCM of 24 and 32 is 96, and the LCM of 96 and 48 is 96 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 96 divisible by 24, 32 and 48?

    Yes, and by definition it is the smallest positive integer that is: 96 ÷ 24, 96 ÷ 32 and 96 ÷ 48 all come out whole. Any other common multiple of 24, 32 and 48 is a multiple of 96.

    See Also