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    LCM for 4, 6 and 24

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

    What's the Least Common Multiple (LCM) of 4, 6 and 24?

    Answer

    LCM of 4, 6 and 24 is
    24

    First common multiples: 24, 48, 72, …

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

    4 = 22

    6 = 2 × 3

    24 = 23 × 3

    Prime4624Highest power
    22222323
    3—333

    — = 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--6--24Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--6--24">What is the LCM of 4, 6 and 24? - Calculatio</a>Copy
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    What is the LCM of 4, 6 and 24? The LCM of 4, 6 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--6--24/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    46936
    461060
    4611132
    461212
    4613156
    461484
    461560
    461648
    4617204
    461836
    4619228
    462060
    462184
    4622132
    4623276
    462424
    4625300
    4626156
    4627108
    462884
    4629348
    463060
    4631372
    463296
    4633132
    4634204
    4635420
    463636
    4637444
    4638228

    FAQ

    What's the Least Common Multiple (LCM) of 4, 6 and 24?

    LCM of 4, 6 and 24 is 24

    How to find the LCM of 4, 6 and 24 by prime factorization?

    Take every prime that appears in 4, 6 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, 6 and 24 two numbers at a time?

    Yes. The LCM of 4 and 6 is 12, and the LCM of 12 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, 6 and 24?

    Yes, and by definition it is the smallest positive integer that is: 24 ÷ 4, 24 ÷ 6 and 24 ÷ 24 all come out whole. Any other common multiple of 4, 6 and 24 is a multiple of 24.

    See Also