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    LCM for 4, 8 and 24

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

    What's the Least Common Multiple (LCM) of 4, 8 and 24?

    Answer

    LCM of 4, 8 and 24 is
    24

    First common multiples: 24, 48, 72, …

    24 is divisible by all three: 24 ÷ 4 = 6, 24 ÷ 8 = 3, 24 ÷ 24 = 1 — and 6, 3 and 1 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/4 by 6 and of y/8 by 3.

    4 = 22

    8 = 23

    24 = 23 × 3

    Prime4824Highest power
    222232323
    3——33

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

    LCM = 23 × 3 = 24

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--8--24Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--8--24">What is the LCM of 4, 8 and 24? - Calculatio</a>Copy
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    What is the LCM of 4, 8 and 24? The LCM of 4, 8 and 24 is 24 — 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/4--8--24/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    48972
    481040
    481188
    481224
    4813104
    481456
    4815120
    481616
    4817136
    481872
    4819152
    482040
    4821168
    482288
    4823184
    482424
    4825200
    4826104
    4827216
    482856
    4829232
    4830120
    4831248
    483232
    4833264
    4834136
    4835280
    483672
    4837296
    4838152

    FAQ

    What's the Least Common Multiple (LCM) of 4, 8 and 24?

    LCM of 4, 8 and 24 is 24

    How to find the LCM of 4, 8 and 24 by prime factorization?

    Take every prime that appears in 4, 8 and 24 to the highest power it reaches in any one of them and multiply: 2³ × 3 = 24.

    Can you get the LCM of 4, 8 and 24 two numbers at a time?

    Yes. The LCM of 4 and 8 is 8, and the LCM of 8 and 24 is 24 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 24 divisible by 4, 8 and 24?

    Yes, and by definition it is the smallest positive integer that is: 24 ÷ 4, 24 ÷ 8 and 24 ÷ 24 all come out whole. Any other common multiple of 4, 8 and 24 is a multiple of 24.

    See Also